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Finding the Fourth Proportional to 6,702.32, 9,245.40 and 4,214

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Solution

The fourth proportional to 6,702.32, 9,245.40 and 4,214 is: 5,812.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.32 : 9,245.40 = 4,214 : x
  2. Step 2: Convert to fraction form
    6,702.32/9,245.40 = 4,214/x
  3. Step 3: Cross multiply
    6,702.32x = 9,245.40 × 4,214
  4. Step 4: Simplify right side
    6,702.32x = 38,960,115.60
  5. Step 5: Solve for x
    x = 38,960,115.60/6,702.32
  6. Step 6: Final answer
    x = 5,812.93

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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.