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Finding the Fourth Proportional to 5,407.70, 8,111.55 and 4,543.70

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Solution

The fourth proportional to 5,407.70, 8,111.55 and 4,543.70 is: 6,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.70 : 8,111.55 = 4,543.70 : x
  2. Step 2: Convert to fraction form
    5,407.70/8,111.55 = 4,543.70/x
  3. Step 3: Cross multiply
    5,407.70x = 8,111.55 × 4,543.70
  4. Step 4: Simplify right side
    5,407.70x = 36,856,449.74
  5. Step 5: Solve for x
    x = 36,856,449.74/5,407.70
  6. Step 6: Final answer
    x = 6,815.55

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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.