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Finding the Fourth Proportional to 7,952.59, 11,926.14 and 4,002.32

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Solution

The fourth proportional to 7,952.59, 11,926.14 and 4,002.32 is: 6,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952.59 : 11,926.14 = 4,002.32 : x
  2. Step 2: Convert to fraction form
    7,952.59/11,926.14 = 4,002.32/x
  3. Step 3: Cross multiply
    7,952.59x = 11,926.14 × 4,002.32
  4. Step 4: Simplify right side
    7,952.59x = 47,732,243.68
  5. Step 5: Solve for x
    x = 47,732,243.68/7,952.59
  6. Step 6: Final answer
    x = 6,002.10

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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.