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Finding the Fourth Proportional to 5,842.76, 8,764.18 and 1,947.16

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Solution

The fourth proportional to 5,842.76, 8,764.18 and 1,947.16 is: 2,920.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.76 : 8,764.18 = 1,947.16 : x
  2. Step 2: Convert to fraction form
    5,842.76/8,764.18 = 1,947.16/x
  3. Step 3: Cross multiply
    5,842.76x = 8,764.18 × 1,947.16
  4. Step 4: Simplify right side
    5,842.76x = 17,065,233.95
  5. Step 5: Solve for x
    x = 17,065,233.95/5,842.76
  6. Step 6: Final answer
    x = 2,920.75

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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.