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Finding the Fourth Proportional to 5,547.09, 7,648.17 and 3,447.57

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Solution

The fourth proportional to 5,547.09, 7,648.17 and 3,447.57 is: 4,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,547.09 : 7,648.17 = 3,447.57 : x
  2. Step 2: Convert to fraction form
    5,547.09/7,648.17 = 3,447.57/x
  3. Step 3: Cross multiply
    5,547.09x = 7,648.17 × 3,447.57
  4. Step 4: Simplify right side
    5,547.09x = 26,367,601.45
  5. Step 5: Solve for x
    x = 26,367,601.45/5,547.09
  6. Step 6: Final answer
    x = 4,753.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.