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Finding the Fourth Proportional to 6,951.75, 9,586.10 and 5,254.17

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Solution

The fourth proportional to 6,951.75, 9,586.10 and 5,254.17 is: 7,245.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951.75 : 9,586.10 = 5,254.17 : x
  2. Step 2: Convert to fraction form
    6,951.75/9,586.10 = 5,254.17/x
  3. Step 3: Cross multiply
    6,951.75x = 9,586.10 × 5,254.17
  4. Step 4: Simplify right side
    6,951.75x = 50,366,972.77
  5. Step 5: Solve for x
    x = 50,366,972.77/6,951.75
  6. Step 6: Final answer
    x = 7,245.22

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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.