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Finding the Fourth Proportional to 6,467.60, 9,701.40 and 5,301.20

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Solution

The fourth proportional to 6,467.60, 9,701.40 and 5,301.20 is: 7,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.60 : 9,701.40 = 5,301.20 : x
  2. Step 2: Convert to fraction form
    6,467.60/9,701.40 = 5,301.20/x
  3. Step 3: Cross multiply
    6,467.60x = 9,701.40 × 5,301.20
  4. Step 4: Simplify right side
    6,467.60x = 51,429,061.68
  5. Step 5: Solve for x
    x = 51,429,061.68/6,467.60
  6. Step 6: Final answer
    x = 7,951.80

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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.