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Finding the Fourth Proportional to 8,157.79, 11,234.91 and 7,419.68

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Solution

The fourth proportional to 8,157.79, 11,234.91 and 7,419.68 is: 10,218.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,157.79 : 11,234.91 = 7,419.68 : x
  2. Step 2: Convert to fraction form
    8,157.79/11,234.91 = 7,419.68/x
  3. Step 3: Cross multiply
    8,157.79x = 11,234.91 × 7,419.68
  4. Step 4: Simplify right side
    8,157.79x = 83,359,437.03
  5. Step 5: Solve for x
    x = 83,359,437.03/8,157.79
  6. Step 6: Final answer
    x = 10,218.38

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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.