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Finding the Fourth Proportional to 9,444.68, 14,167.02 and 2,519

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Solution

The fourth proportional to 9,444.68, 14,167.02 and 2,519 is: 3,778.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,444.68 : 14,167.02 = 2,519 : x
  2. Step 2: Convert to fraction form
    9,444.68/14,167.02 = 2,519/x
  3. Step 3: Cross multiply
    9,444.68x = 14,167.02 × 2,519
  4. Step 4: Simplify right side
    9,444.68x = 35,686,723.38
  5. Step 5: Solve for x
    x = 35,686,723.38/9,444.68
  6. Step 6: Final answer
    x = 3,778.50

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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.