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Finding the Fourth Proportional to 6,565.26, 9,849.50 and 1,948.26

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Solution

The fourth proportional to 6,565.26, 9,849.50 and 1,948.26 is: 2,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.26 : 9,849.50 = 1,948.26 : x
  2. Step 2: Convert to fraction form
    6,565.26/9,849.50 = 1,948.26/x
  3. Step 3: Cross multiply
    6,565.26x = 9,849.50 × 1,948.26
  4. Step 4: Simplify right side
    6,565.26x = 19,189,386.87
  5. Step 5: Solve for x
    x = 19,189,386.87/6,565.26
  6. Step 6: Final answer
    x = 2,922.87

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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.