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Finding the Fourth Proportional to 6,195.38, 8,543.94 and 4,070.06

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Solution

The fourth proportional to 6,195.38, 8,543.94 and 4,070.06 is: 5,612.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,195.38 : 8,543.94 = 4,070.06 : x
  2. Step 2: Convert to fraction form
    6,195.38/8,543.94 = 4,070.06/x
  3. Step 3: Cross multiply
    6,195.38x = 8,543.94 × 4,070.06
  4. Step 4: Simplify right side
    6,195.38x = 34,774,305.72
  5. Step 5: Solve for x
    x = 34,774,305.72/6,195.38
  6. Step 6: Final answer
    x = 5,612.95

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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.