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Finding the Fourth Proportional to 7,642.01, 11,466.39 and 4,867.97

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Solution

The fourth proportional to 7,642.01, 11,466.39 and 4,867.97 is: 7,304.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.01 : 11,466.39 = 4,867.97 : x
  2. Step 2: Convert to fraction form
    7,642.01/11,466.39 = 4,867.97/x
  3. Step 3: Cross multiply
    7,642.01x = 11,466.39 × 4,867.97
  4. Step 4: Simplify right side
    7,642.01x = 55,817,985.20
  5. Step 5: Solve for x
    x = 55,817,985.20/7,642.01
  6. Step 6: Final answer
    x = 7,304.10

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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.