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Finding the Fourth Proportional to 24,420.71, 36,607.68 and 7,771.57

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Solution

The fourth proportional to 24,420.71, 36,607.68 and 7,771.57 is: 11,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420.71 : 36,607.68 = 7,771.57 : x
  2. Step 2: Convert to fraction form
    24,420.71/36,607.68 = 7,771.57/x
  3. Step 3: Cross multiply
    24,420.71x = 36,607.68 × 7,771.57
  4. Step 4: Simplify right side
    24,420.71x = 284,499,056.14
  5. Step 5: Solve for x
    x = 284,499,056.14/24,420.71
  6. Step 6: Final answer
    x = 11,649.91

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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.