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Finding the Fourth Proportional to 6,754.95, 10,116.75 and 6,521.34

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Solution

The fourth proportional to 6,754.95, 10,116.75 and 6,521.34 is: 9,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.95 : 10,116.75 = 6,521.34 : x
  2. Step 2: Convert to fraction form
    6,754.95/10,116.75 = 6,521.34/x
  3. Step 3: Cross multiply
    6,754.95x = 10,116.75 × 6,521.34
  4. Step 4: Simplify right side
    6,754.95x = 65,974,766.45
  5. Step 5: Solve for x
    x = 65,974,766.45/6,754.95
  6. Step 6: Final answer
    x = 9,766.88

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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.