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Finding the Fourth Proportional to 6,304.60, 9,456.90 and 5,440.60

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Solution

The fourth proportional to 6,304.60, 9,456.90 and 5,440.60 is: 8,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.60 : 9,456.90 = 5,440.60 : x
  2. Step 2: Convert to fraction form
    6,304.60/9,456.90 = 5,440.60/x
  3. Step 3: Cross multiply
    6,304.60x = 9,456.90 × 5,440.60
  4. Step 4: Simplify right side
    6,304.60x = 51,451,210.14
  5. Step 5: Solve for x
    x = 51,451,210.14/6,304.60
  6. Step 6: Final answer
    x = 8,160.90

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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.