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Finding the Fourth Proportional to 4,114.55, 6,170.03 and 1,648.55

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Solution

The fourth proportional to 4,114.55, 6,170.03 and 1,648.55 is: 2,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.55 : 6,170.03 = 1,648.55 : x
  2. Step 2: Convert to fraction form
    4,114.55/6,170.03 = 1,648.55/x
  3. Step 3: Cross multiply
    4,114.55x = 6,170.03 × 1,648.55
  4. Step 4: Simplify right side
    4,114.55x = 10,171,594.71
  5. Step 5: Solve for x
    x = 10,171,594.71/4,114.55
  6. Step 6: Final answer
    x = 2,472.10

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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.