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Finding the Fourth Proportional to 6,761.40, 10,142.10 and 1,830.90

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Solution

The fourth proportional to 6,761.40, 10,142.10 and 1,830.90 is: 2,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.40 : 10,142.10 = 1,830.90 : x
  2. Step 2: Convert to fraction form
    6,761.40/10,142.10 = 1,830.90/x
  3. Step 3: Cross multiply
    6,761.40x = 10,142.10 × 1,830.90
  4. Step 4: Simplify right side
    6,761.40x = 18,569,170.89
  5. Step 5: Solve for x
    x = 18,569,170.89/6,761.40
  6. Step 6: Final answer
    x = 2,746.35

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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.