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Finding the Fourth Proportional to 24,437.60, 36,649.20 and 9,641.60

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Solution

The fourth proportional to 24,437.60, 36,649.20 and 9,641.60 is: 14,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,437.60 : 36,649.20 = 9,641.60 : x
  2. Step 2: Convert to fraction form
    24,437.60/36,649.20 = 9,641.60/x
  3. Step 3: Cross multiply
    24,437.60x = 36,649.20 × 9,641.60
  4. Step 4: Simplify right side
    24,437.60x = 353,356,926.72
  5. Step 5: Solve for x
    x = 353,356,926.72/24,437.60
  6. Step 6: Final answer
    x = 14,459.56

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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.