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Finding the Fourth Proportional to 13,737.76, 20,589.36 and 9,849.76

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Solution

The fourth proportional to 13,737.76, 20,589.36 and 9,849.76 is: 14,762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.76 : 20,589.36 = 9,849.76 : x
  2. Step 2: Convert to fraction form
    13,737.76/20,589.36 = 9,849.76/x
  3. Step 3: Cross multiply
    13,737.76x = 20,589.36 × 9,849.76
  4. Step 4: Simplify right side
    13,737.76x = 202,800,254.55
  5. Step 5: Solve for x
    x = 202,800,254.55/13,737.76
  6. Step 6: Final answer
    x = 14,762.25

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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.