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Finding the Fourth Proportional to 6,468.60, 9,702.90 and 5,496.60

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Solution

The fourth proportional to 6,468.60, 9,702.90 and 5,496.60 is: 8,244.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.60 : 9,702.90 = 5,496.60 : x
  2. Step 2: Convert to fraction form
    6,468.60/9,702.90 = 5,496.60/x
  3. Step 3: Cross multiply
    6,468.60x = 9,702.90 × 5,496.60
  4. Step 4: Simplify right side
    6,468.60x = 53,332,960.14
  5. Step 5: Solve for x
    x = 53,332,960.14/6,468.60
  6. Step 6: Final answer
    x = 8,244.90

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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.