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Finding the Fourth Proportional to 9,666.22, 14,565.18 and 7,949.68

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Solution

The fourth proportional to 9,666.22, 14,565.18 and 7,949.68 is: 11,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.22 : 14,565.18 = 7,949.68 : x
  2. Step 2: Convert to fraction form
    9,666.22/14,565.18 = 7,949.68/x
  3. Step 3: Cross multiply
    9,666.22x = 14,565.18 × 7,949.68
  4. Step 4: Simplify right side
    9,666.22x = 115,788,520.14
  5. Step 5: Solve for x
    x = 115,788,520.14/9,666.22
  6. Step 6: Final answer
    x = 11,978.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.