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Finding the Fourth Proportional to 24,491.34, 36,713.64 and 7,840.62

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Solution

The fourth proportional to 24,491.34, 36,713.64 and 7,840.62 is: 11,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,491.34 : 36,713.64 = 7,840.62 : x
  2. Step 2: Convert to fraction form
    24,491.34/36,713.64 = 7,840.62/x
  3. Step 3: Cross multiply
    24,491.34x = 36,713.64 × 7,840.62
  4. Step 4: Simplify right side
    24,491.34x = 287,857,700.06
  5. Step 5: Solve for x
    x = 287,857,700.06/24,491.34
  6. Step 6: Final answer
    x = 11,753.45

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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.