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Finding the Fourth Proportional to 6,569.97, 9,862.74 and 5,184.27

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Solution

The fourth proportional to 6,569.97, 9,862.74 and 5,184.27 is: 7,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.97 : 9,862.74 = 5,184.27 : x
  2. Step 2: Convert to fraction form
    6,569.97/9,862.74 = 5,184.27/x
  3. Step 3: Cross multiply
    6,569.97x = 9,862.74 × 5,184.27
  4. Step 4: Simplify right side
    6,569.97x = 51,131,107.10
  5. Step 5: Solve for x
    x = 51,131,107.10/6,569.97
  6. Step 6: Final answer
    x = 7,782.55

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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.