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Finding the Fourth Proportional to 6,509.07, 9,763.20 and 2,610.68

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Solution

The fourth proportional to 6,509.07, 9,763.20 and 2,610.68 is: 3,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.07 : 9,763.20 = 2,610.68 : x
  2. Step 2: Convert to fraction form
    6,509.07/9,763.20 = 2,610.68/x
  3. Step 3: Cross multiply
    6,509.07x = 9,763.20 × 2,610.68
  4. Step 4: Simplify right side
    6,509.07x = 25,488,542.16
  5. Step 5: Solve for x
    x = 25,488,542.16/6,509.07
  6. Step 6: Final answer
    x = 3,915.85

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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.