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Finding the Fourth Proportional to 24,386.42, 36,575.88 and 7,744.29

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Solution

The fourth proportional to 24,386.42, 36,575.88 and 7,744.29 is: 11,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,386.42 : 36,575.88 = 7,744.29 : x
  2. Step 2: Convert to fraction form
    24,386.42/36,575.88 = 7,744.29/x
  3. Step 3: Cross multiply
    24,386.42x = 36,575.88 × 7,744.29
  4. Step 4: Simplify right side
    24,386.42x = 283,254,221.73
  5. Step 5: Solve for x
    x = 283,254,221.73/24,386.42
  6. Step 6: Final answer
    x = 11,615.25

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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.