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Finding the Fourth Proportional to 24,658.80, 37,001.64 and 9,074.16

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Solution

The fourth proportional to 24,658.80, 37,001.64 and 9,074.16 is: 13,616.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,658.80 : 37,001.64 = 9,074.16 : x
  2. Step 2: Convert to fraction form
    24,658.80/37,001.64 = 9,074.16/x
  3. Step 3: Cross multiply
    24,658.80x = 37,001.64 × 9,074.16
  4. Step 4: Simplify right side
    24,658.80x = 335,758,801.62
  5. Step 5: Solve for x
    x = 335,758,801.62/24,658.80
  6. Step 6: Final answer
    x = 13,616.19

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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.