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Finding the Fourth Proportional to 13,385.40, 20,099.70 and 9,713.40

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Solution

The fourth proportional to 13,385.40, 20,099.70 and 9,713.40 is: 14,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.40 : 20,099.70 = 9,713.40 : x
  2. Step 2: Convert to fraction form
    13,385.40/20,099.70 = 9,713.40/x
  3. Step 3: Cross multiply
    13,385.40x = 20,099.70 × 9,713.40
  4. Step 4: Simplify right side
    13,385.40x = 195,236,425.98
  5. Step 5: Solve for x
    x = 195,236,425.98/13,385.40
  6. Step 6: Final answer
    x = 14,585.77

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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.