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Finding the Fourth Proportional to 5,694.98, 8,543.72 and 1,746.78

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Solution

The fourth proportional to 5,694.98, 8,543.72 and 1,746.78 is: 2,620.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.98 : 8,543.72 = 1,746.78 : x
  2. Step 2: Convert to fraction form
    5,694.98/8,543.72 = 1,746.78/x
  3. Step 3: Cross multiply
    5,694.98x = 8,543.72 × 1,746.78
  4. Step 4: Simplify right side
    5,694.98x = 14,924,019.61
  5. Step 5: Solve for x
    x = 14,924,019.61/5,694.98
  6. Step 6: Final answer
    x = 2,620.56

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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.