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Finding the Fourth Proportional to 5,543.96, 8,315 and 1,846.58

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Solution

The fourth proportional to 5,543.96, 8,315 and 1,846.58 is: 2,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,543.96 : 8,315 = 1,846.58 : x
  2. Step 2: Convert to fraction form
    5,543.96/8,315 = 1,846.58/x
  3. Step 3: Cross multiply
    5,543.96x = 8,315 × 1,846.58
  4. Step 4: Simplify right side
    5,543.96x = 15,354,312.70
  5. Step 5: Solve for x
    x = 15,354,312.70/5,543.96
  6. Step 6: Final answer
    x = 2,769.56

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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.