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Finding the Fourth Proportional to 14,711.50, 20,301.90 and 8,087.50

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Solution

The fourth proportional to 14,711.50, 20,301.90 and 8,087.50 is: 11,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,711.50 : 20,301.90 = 8,087.50 : x
  2. Step 2: Convert to fraction form
    14,711.50/20,301.90 = 8,087.50/x
  3. Step 3: Cross multiply
    14,711.50x = 20,301.90 × 8,087.50
  4. Step 4: Simplify right side
    14,711.50x = 164,191,616.25
  5. Step 5: Solve for x
    x = 164,191,616.25/14,711.50
  6. Step 6: Final answer
    x = 11,160.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.