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Finding the Fourth Proportional to 9,248.48, 12,759.76 and 5,712.48

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Solution

The fourth proportional to 9,248.48, 12,759.76 and 5,712.48 is: 7,881.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.48 : 12,759.76 = 5,712.48 : x
  2. Step 2: Convert to fraction form
    9,248.48/12,759.76 = 5,712.48/x
  3. Step 3: Cross multiply
    9,248.48x = 12,759.76 × 5,712.48
  4. Step 4: Simplify right side
    9,248.48x = 72,889,873.80
  5. Step 5: Solve for x
    x = 72,889,873.80/9,248.48
  6. Step 6: Final answer
    x = 7,881.28

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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.