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Finding the Fourth Proportional to 8,169, 11,275.14 and 4,858.92

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Solution

The fourth proportional to 8,169, 11,275.14 and 4,858.92 is: 6,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,169 : 11,275.14 = 4,858.92 : x
  2. Step 2: Convert to fraction form
    8,169/11,275.14 = 4,858.92/x
  3. Step 3: Cross multiply
    8,169x = 11,275.14 × 4,858.92
  4. Step 4: Simplify right side
    8,169x = 54,785,003.25
  5. Step 5: Solve for x
    x = 54,785,003.25/8,169
  6. Step 6: Final answer
    x = 6,706.45

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Half scale
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Double scale
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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.