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Finding the Fourth Proportional to 9,737.42, 13,433.94 and 5,957.55

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Solution

The fourth proportional to 9,737.42, 13,433.94 and 5,957.55 is: 8,219.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.42 : 13,433.94 = 5,957.55 : x
  2. Step 2: Convert to fraction form
    9,737.42/13,433.94 = 5,957.55/x
  3. Step 3: Cross multiply
    9,737.42x = 13,433.94 × 5,957.55
  4. Step 4: Simplify right side
    9,737.42x = 80,033,369.25
  5. Step 5: Solve for x
    x = 80,033,369.25/9,737.42
  6. Step 6: Final answer
    x = 8,219.16

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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.