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Finding the Fourth Proportional to 6,829.65, 9,422.73 and 6,064.20

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Solution

The fourth proportional to 6,829.65, 9,422.73 and 6,064.20 is: 8,366.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,829.65 : 9,422.73 = 6,064.20 : x
  2. Step 2: Convert to fraction form
    6,829.65/9,422.73 = 6,064.20/x
  3. Step 3: Cross multiply
    6,829.65x = 9,422.73 × 6,064.20
  4. Step 4: Simplify right side
    6,829.65x = 57,141,319.27
  5. Step 5: Solve for x
    x = 57,141,319.27/6,829.65
  6. Step 6: Final answer
    x = 8,366.65

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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.