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Finding the Fourth Proportional to 9,666.62, 13,339.31 and 5,686.97

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Solution

The fourth proportional to 9,666.62, 13,339.31 and 5,686.97 is: 7,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.62 : 13,339.31 = 5,686.97 : x
  2. Step 2: Convert to fraction form
    9,666.62/13,339.31 = 5,686.97/x
  3. Step 3: Cross multiply
    9,666.62x = 13,339.31 × 5,686.97
  4. Step 4: Simplify right side
    9,666.62x = 75,860,160.66
  5. Step 5: Solve for x
    x = 75,860,160.66/9,666.62
  6. Step 6: Final answer
    x = 7,847.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.