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Finding the Fourth Proportional to 6,853.88, 10,275.69 and 6,158.54

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Solution

The fourth proportional to 6,853.88, 10,275.69 and 6,158.54 is: 9,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.88 : 10,275.69 = 6,158.54 : x
  2. Step 2: Convert to fraction form
    6,853.88/10,275.69 = 6,158.54/x
  3. Step 3: Cross multiply
    6,853.88x = 10,275.69 × 6,158.54
  4. Step 4: Simplify right side
    6,853.88x = 63,283,247.89
  5. Step 5: Solve for x
    x = 63,283,247.89/6,853.88
  6. Step 6: Final answer
    x = 9,233.20

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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.