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Finding the Fourth Proportional to 6,952.13, 10,415.99 and 5,789.61

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Solution

The fourth proportional to 6,952.13, 10,415.99 and 5,789.61 is: 8,674.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.13 : 10,415.99 = 5,789.61 : x
  2. Step 2: Convert to fraction form
    6,952.13/10,415.99 = 5,789.61/x
  3. Step 3: Cross multiply
    6,952.13x = 10,415.99 × 5,789.61
  4. Step 4: Simplify right side
    6,952.13x = 60,304,534.34
  5. Step 5: Solve for x
    x = 60,304,534.34/6,952.13
  6. Step 6: Final answer
    x = 8,674.25

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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.