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Finding the Fourth Proportional to 16,071.71, 24,123.11 and 7,757.58

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Solution

The fourth proportional to 16,071.71, 24,123.11 and 7,757.58 is: 11,643.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,071.71 : 24,123.11 = 7,757.58 : x
  2. Step 2: Convert to fraction form
    16,071.71/24,123.11 = 7,757.58/x
  3. Step 3: Cross multiply
    16,071.71x = 24,123.11 × 7,757.58
  4. Step 4: Simplify right side
    16,071.71x = 187,136,955.67
  5. Step 5: Solve for x
    x = 187,136,955.67/16,071.71
  6. Step 6: Final answer
    x = 11,643.87

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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.