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Finding the Fourth Proportional to 13,825.20, 20,737.80 and 9,937.20

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Solution

The fourth proportional to 13,825.20, 20,737.80 and 9,937.20 is: 14,905.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,825.20 : 20,737.80 = 9,937.20 : x
  2. Step 2: Convert to fraction form
    13,825.20/20,737.80 = 9,937.20/x
  3. Step 3: Cross multiply
    13,825.20x = 20,737.80 × 9,937.20
  4. Step 4: Simplify right side
    13,825.20x = 206,075,666.16
  5. Step 5: Solve for x
    x = 206,075,666.16/13,825.20
  6. Step 6: Final answer
    x = 14,905.80

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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.