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Finding the Fourth Proportional to 6,731.52, 10,097.28 and 5,633.28

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Solution

The fourth proportional to 6,731.52, 10,097.28 and 5,633.28 is: 8,449.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.52 : 10,097.28 = 5,633.28 : x
  2. Step 2: Convert to fraction form
    6,731.52/10,097.28 = 5,633.28/x
  3. Step 3: Cross multiply
    6,731.52x = 10,097.28 × 5,633.28
  4. Step 4: Simplify right side
    6,731.52x = 56,880,805.48
  5. Step 5: Solve for x
    x = 56,880,805.48/6,731.52
  6. Step 6: Final answer
    x = 8,449.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.