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Finding the Fourth Proportional to 6,348.84, 9,517.78 and 3,064.24

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Solution

The fourth proportional to 6,348.84, 9,517.78 and 3,064.24 is: 4,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.84 : 9,517.78 = 3,064.24 : x
  2. Step 2: Convert to fraction form
    6,348.84/9,517.78 = 3,064.24/x
  3. Step 3: Cross multiply
    6,348.84x = 9,517.78 × 3,064.24
  4. Step 4: Simplify right side
    6,348.84x = 29,164,762.19
  5. Step 5: Solve for x
    x = 29,164,762.19/6,348.84
  6. Step 6: Final answer
    x = 4,593.72

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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.