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Finding the Fourth Proportional to 6,839.72, 9,454.75 and 6,101.00

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Solution

The fourth proportional to 6,839.72, 9,454.75 and 6,101.00 is: 8,433.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.72 : 9,454.75 = 6,101.00 : x
  2. Step 2: Convert to fraction form
    6,839.72/9,454.75 = 6,101.00/x
  3. Step 3: Cross multiply
    6,839.72x = 9,454.75 × 6,101.00
  4. Step 4: Simplify right side
    6,839.72x = 57,683,382.48
  5. Step 5: Solve for x
    x = 57,683,382.48/6,839.72
  6. Step 6: Final answer
    x = 8,433.59

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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.