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Finding the Fourth Proportional to 6,193.30, 8,543.01 and 4,098.10

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Solution

The fourth proportional to 6,193.30, 8,543.01 and 4,098.10 is: 5,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.30 : 8,543.01 = 4,098.10 : x
  2. Step 2: Convert to fraction form
    6,193.30/8,543.01 = 4,098.10/x
  3. Step 3: Cross multiply
    6,193.30x = 8,543.01 × 4,098.10
  4. Step 4: Simplify right side
    6,193.30x = 35,010,109.28
  5. Step 5: Solve for x
    x = 35,010,109.28/6,193.30
  6. Step 6: Final answer
    x = 5,652.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.