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Finding the Fourth Proportional to 10,417.94, 15,633.29 and 4,177.29

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Solution

The fourth proportional to 10,417.94, 15,633.29 and 4,177.29 is: 6,268.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,417.94 : 15,633.29 = 4,177.29 : x
  2. Step 2: Convert to fraction form
    10,417.94/15,633.29 = 4,177.29/x
  3. Step 3: Cross multiply
    10,417.94x = 15,633.29 × 4,177.29
  4. Step 4: Simplify right side
    10,417.94x = 65,304,785.98
  5. Step 5: Solve for x
    x = 65,304,785.98/10,417.94
  6. Step 6: Final answer
    x = 6,268.49

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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.