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Finding the Fourth Proportional to 11,338.71, 17,008.92 and 3,547.50

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Solution

The fourth proportional to 11,338.71, 17,008.92 and 3,547.50 is: 5,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,338.71 : 17,008.92 = 3,547.50 : x
  2. Step 2: Convert to fraction form
    11,338.71/17,008.92 = 3,547.50/x
  3. Step 3: Cross multiply
    11,338.71x = 17,008.92 × 3,547.50
  4. Step 4: Simplify right side
    11,338.71x = 60,339,143.70
  5. Step 5: Solve for x
    x = 60,339,143.70/11,338.71
  6. Step 6: Final answer
    x = 5,321.52

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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.