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Finding the Fourth Proportional to 12,402.71, 18,561.15 and 7,656.92

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Solution

The fourth proportional to 12,402.71, 18,561.15 and 7,656.92 is: 11,458.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.71 : 18,561.15 = 7,656.92 : x
  2. Step 2: Convert to fraction form
    12,402.71/18,561.15 = 7,656.92/x
  3. Step 3: Cross multiply
    12,402.71x = 18,561.15 × 7,656.92
  4. Step 4: Simplify right side
    12,402.71x = 142,121,176.57
  5. Step 5: Solve for x
    x = 142,121,176.57/12,402.71
  6. Step 6: Final answer
    x = 11,458.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.