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Finding the Fourth Proportional to 7,061.54, 9,745 and 3,917.66

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Solution

The fourth proportional to 7,061.54, 9,745 and 3,917.66 is: 5,406.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.54 : 9,745 = 3,917.66 : x
  2. Step 2: Convert to fraction form
    7,061.54/9,745 = 3,917.66/x
  3. Step 3: Cross multiply
    7,061.54x = 9,745 × 3,917.66
  4. Step 4: Simplify right side
    7,061.54x = 38,177,596.70
  5. Step 5: Solve for x
    x = 38,177,596.70/7,061.54
  6. Step 6: Final answer
    x = 5,406.41

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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.