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Finding the Fourth Proportional to 6,702.06, 9,242.79 and 4,184.40

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Solution

The fourth proportional to 6,702.06, 9,242.79 and 4,184.40 is: 5,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.06 : 9,242.79 = 4,184.40 : x
  2. Step 2: Convert to fraction form
    6,702.06/9,242.79 = 4,184.40/x
  3. Step 3: Cross multiply
    6,702.06x = 9,242.79 × 4,184.40
  4. Step 4: Simplify right side
    6,702.06x = 38,675,509.55
  5. Step 5: Solve for x
    x = 38,675,509.55/6,702.06
  6. Step 6: Final answer
    x = 5,770.69

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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.