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Finding the Fourth Proportional to 15,711.70, 23,548.11 and 7,916.26

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Solution

The fourth proportional to 15,711.70, 23,548.11 and 7,916.26 is: 11,864.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,711.70 : 23,548.11 = 7,916.26 : x
  2. Step 2: Convert to fraction form
    15,711.70/23,548.11 = 7,916.26/x
  3. Step 3: Cross multiply
    15,711.70x = 23,548.11 × 7,916.26
  4. Step 4: Simplify right side
    15,711.70x = 186,412,961.27
  5. Step 5: Solve for x
    x = 186,412,961.27/15,711.70
  6. Step 6: Final answer
    x = 11,864.60

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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.