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Finding the Fourth Proportional to 9,695.60, 14,556.90 and 6,207.20

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Solution

The fourth proportional to 9,695.60, 14,556.90 and 6,207.20 is: 9,319.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.60 : 14,556.90 = 6,207.20 : x
  2. Step 2: Convert to fraction form
    9,695.60/14,556.90 = 6,207.20/x
  3. Step 3: Cross multiply
    9,695.60x = 14,556.90 × 6,207.20
  4. Step 4: Simplify right side
    9,695.60x = 90,357,589.68
  5. Step 5: Solve for x
    x = 90,357,589.68/9,695.60
  6. Step 6: Final answer
    x = 9,319.44

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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.