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Finding the Fourth Proportional to 7,467.60, 11,201.40 and 6,648.40

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Solution

The fourth proportional to 7,467.60, 11,201.40 and 6,648.40 is: 9,972.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,467.60 : 11,201.40 = 6,648.40 : x
  2. Step 2: Convert to fraction form
    7,467.60/11,201.40 = 6,648.40/x
  3. Step 3: Cross multiply
    7,467.60x = 11,201.40 × 6,648.40
  4. Step 4: Simplify right side
    7,467.60x = 74,471,387.76
  5. Step 5: Solve for x
    x = 74,471,387.76/7,467.60
  6. Step 6: Final answer
    x = 9,972.60

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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.