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Finding the Fourth Proportional to 9,230, 12,737.54 and 5,038.26

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Solution

The fourth proportional to 9,230, 12,737.54 and 5,038.26 is: 6,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230 : 12,737.54 = 5,038.26 : x
  2. Step 2: Convert to fraction form
    9,230/12,737.54 = 5,038.26/x
  3. Step 3: Cross multiply
    9,230x = 12,737.54 × 5,038.26
  4. Step 4: Simplify right side
    9,230x = 64,175,038.28
  5. Step 5: Solve for x
    x = 64,175,038.28/9,230
  6. Step 6: Final answer
    x = 6,952.88

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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.