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Finding the Fourth Proportional to 6,443.64, 9,665.76 and 2,932.20

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Solution

The fourth proportional to 6,443.64, 9,665.76 and 2,932.20 is: 4,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.64 : 9,665.76 = 2,932.20 : x
  2. Step 2: Convert to fraction form
    6,443.64/9,665.76 = 2,932.20/x
  3. Step 3: Cross multiply
    6,443.64x = 9,665.76 × 2,932.20
  4. Step 4: Simplify right side
    6,443.64x = 28,341,941.47
  5. Step 5: Solve for x
    x = 28,341,941.47/6,443.64
  6. Step 6: Final answer
    x = 4,398.44

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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.