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Finding the Fourth Proportional to 11,504.68, 15,854.34 and 8,186.92

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Solution

The fourth proportional to 11,504.68, 15,854.34 and 8,186.92 is: 11,282.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504.68 : 15,854.34 = 8,186.92 : x
  2. Step 2: Convert to fraction form
    11,504.68/15,854.34 = 8,186.92/x
  3. Step 3: Cross multiply
    11,504.68x = 15,854.34 × 8,186.92
  4. Step 4: Simplify right side
    11,504.68x = 129,798,213.23
  5. Step 5: Solve for x
    x = 129,798,213.23/11,504.68
  6. Step 6: Final answer
    x = 11,282.21

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.