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Finding the Fourth Proportional to 9,229.36, 12,737 and 6,083.28

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Solution

The fourth proportional to 9,229.36, 12,737 and 6,083.28 is: 8,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.36 : 12,737 = 6,083.28 : x
  2. Step 2: Convert to fraction form
    9,229.36/12,737 = 6,083.28/x
  3. Step 3: Cross multiply
    9,229.36x = 12,737 × 6,083.28
  4. Step 4: Simplify right side
    9,229.36x = 77,482,737.36
  5. Step 5: Solve for x
    x = 77,482,737.36/9,229.36
  6. Step 6: Final answer
    x = 8,395.24

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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.