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Finding the Fourth Proportional to 6,641.93, 9,165.54 and 3,657.89

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Solution

The fourth proportional to 6,641.93, 9,165.54 and 3,657.89 is: 5,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.93 : 9,165.54 = 3,657.89 : x
  2. Step 2: Convert to fraction form
    6,641.93/9,165.54 = 3,657.89/x
  3. Step 3: Cross multiply
    6,641.93x = 9,165.54 × 3,657.89
  4. Step 4: Simplify right side
    6,641.93x = 33,526,514.20
  5. Step 5: Solve for x
    x = 33,526,514.20/6,641.93
  6. Step 6: Final answer
    x = 5,047.71

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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.