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Finding the Fourth Proportional to 6,932.52, 9,567.54 and 4,281.48

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Solution

The fourth proportional to 6,932.52, 9,567.54 and 4,281.48 is: 5,908.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.52 : 9,567.54 = 4,281.48 : x
  2. Step 2: Convert to fraction form
    6,932.52/9,567.54 = 4,281.48/x
  3. Step 3: Cross multiply
    6,932.52x = 9,567.54 × 4,281.48
  4. Step 4: Simplify right side
    6,932.52x = 40,963,231.16
  5. Step 5: Solve for x
    x = 40,963,231.16/6,932.52
  6. Step 6: Final answer
    x = 5,908.85

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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.