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Finding the Fourth Proportional to 6,469.68, 9,632.22 and 6,377.34

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Solution

The fourth proportional to 6,469.68, 9,632.22 and 6,377.34 is: 9,494.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.68 : 9,632.22 = 6,377.34 : x
  2. Step 2: Convert to fraction form
    6,469.68/9,632.22 = 6,377.34/x
  3. Step 3: Cross multiply
    6,469.68x = 9,632.22 × 6,377.34
  4. Step 4: Simplify right side
    6,469.68x = 61,427,941.89
  5. Step 5: Solve for x
    x = 61,427,941.89/6,469.68
  6. Step 6: Final answer
    x = 9,494.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.