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Finding the Fourth Proportional to 9,229.54, 12,738.16 and 5,646.58

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Solution

The fourth proportional to 9,229.54, 12,738.16 and 5,646.58 is: 7,793.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.54 : 12,738.16 = 5,646.58 : x
  2. Step 2: Convert to fraction form
    9,229.54/12,738.16 = 5,646.58/x
  3. Step 3: Cross multiply
    9,229.54x = 12,738.16 × 5,646.58
  4. Step 4: Simplify right side
    9,229.54x = 71,927,039.49
  5. Step 5: Solve for x
    x = 71,927,039.49/9,229.54
  6. Step 6: Final answer
    x = 7,793.13

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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.