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Finding the Fourth Proportional to 34,600.71, 51,899.04 and 9,642.18

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Solution

The fourth proportional to 34,600.71, 51,899.04 and 9,642.18 is: 14,462.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,600.71 : 51,899.04 = 9,642.18 : x
  2. Step 2: Convert to fraction form
    34,600.71/51,899.04 = 9,642.18/x
  3. Step 3: Cross multiply
    34,600.71x = 51,899.04 × 9,642.18
  4. Step 4: Simplify right side
    34,600.71x = 500,419,885.51
  5. Step 5: Solve for x
    x = 500,419,885.51/34,600.71
  6. Step 6: Final answer
    x = 14,462.71

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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.