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Finding the Fourth Proportional to 24,691.68, 37,051.92 and 9,907.20

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Solution

The fourth proportional to 24,691.68, 37,051.92 and 9,907.20 is: 14,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,691.68 : 37,051.92 = 9,907.20 : x
  2. Step 2: Convert to fraction form
    24,691.68/37,051.92 = 9,907.20/x
  3. Step 3: Cross multiply
    24,691.68x = 37,051.92 × 9,907.20
  4. Step 4: Simplify right side
    24,691.68x = 367,080,781.82
  5. Step 5: Solve for x
    x = 367,080,781.82/24,691.68
  6. Step 6: Final answer
    x = 14,866.58

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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.