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Finding the Fourth Proportional to 13,772.60, 20,658.90 and 9,913.40

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Solution

The fourth proportional to 13,772.60, 20,658.90 and 9,913.40 is: 14,870.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,772.60 : 20,658.90 = 9,913.40 : x
  2. Step 2: Convert to fraction form
    13,772.60/20,658.90 = 9,913.40/x
  3. Step 3: Cross multiply
    13,772.60x = 20,658.90 × 9,913.40
  4. Step 4: Simplify right side
    13,772.60x = 204,799,939.26
  5. Step 5: Solve for x
    x = 204,799,939.26/13,772.60
  6. Step 6: Final answer
    x = 14,870.10

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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.