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Finding the Fourth Proportional to 24,538.86, 36,802.11 and 7,008.78

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Solution

The fourth proportional to 24,538.86, 36,802.11 and 7,008.78 is: 10,511.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,538.86 : 36,802.11 = 7,008.78 : x
  2. Step 2: Convert to fraction form
    24,538.86/36,802.11 = 7,008.78/x
  3. Step 3: Cross multiply
    24,538.86x = 36,802.11 × 7,008.78
  4. Step 4: Simplify right side
    24,538.86x = 257,937,892.53
  5. Step 5: Solve for x
    x = 257,937,892.53/24,538.86
  6. Step 6: Final answer
    x = 10,511.40

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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.