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Finding the Fourth Proportional to 4,432.88, 6,650.12 and 1,471.50

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Solution

The fourth proportional to 4,432.88, 6,650.12 and 1,471.50 is: 2,207.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,432.88 : 6,650.12 = 1,471.50 : x
  2. Step 2: Convert to fraction form
    4,432.88/6,650.12 = 1,471.50/x
  3. Step 3: Cross multiply
    4,432.88x = 6,650.12 × 1,471.50
  4. Step 4: Simplify right side
    4,432.88x = 9,785,644.22
  5. Step 5: Solve for x
    x = 9,785,644.22/4,432.88
  6. Step 6: Final answer
    x = 2,207.51

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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.