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Finding the Fourth Proportional to 15,614.86, 23,384.76 and 8,931.10

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Solution

The fourth proportional to 15,614.86, 23,384.76 and 8,931.10 is: 13,375.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,614.86 : 23,384.76 = 8,931.10 : x
  2. Step 2: Convert to fraction form
    15,614.86/23,384.76 = 8,931.10/x
  3. Step 3: Cross multiply
    15,614.86x = 23,384.76 × 8,931.10
  4. Step 4: Simplify right side
    15,614.86x = 208,851,759.82
  5. Step 5: Solve for x
    x = 208,851,759.82/15,614.86
  6. Step 6: Final answer
    x = 13,375.19

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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.