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Finding the Fourth Proportional to 9,642.62, 13,304.66 and 5,867.76

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Solution

The fourth proportional to 9,642.62, 13,304.66 and 5,867.76 is: 8,096.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.62 : 13,304.66 = 5,867.76 : x
  2. Step 2: Convert to fraction form
    9,642.62/13,304.66 = 5,867.76/x
  3. Step 3: Cross multiply
    9,642.62x = 13,304.66 × 5,867.76
  4. Step 4: Simplify right side
    9,642.62x = 78,068,551.76
  5. Step 5: Solve for x
    x = 78,068,551.76/9,642.62
  6. Step 6: Final answer
    x = 8,096.20

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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.