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Finding the Fourth Proportional to 6,702.92, 9,239.27 and 5,284.25

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Solution

The fourth proportional to 6,702.92, 9,239.27 and 5,284.25 is: 7,283.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,702.92 : 9,239.27 = 5,284.25 : x
  2. Step 2: Convert to fraction form
    6,702.92/9,239.27 = 5,284.25/x
  3. Step 3: Cross multiply
    6,702.92x = 9,239.27 × 5,284.25
  4. Step 4: Simplify right side
    6,702.92x = 48,822,612.50
  5. Step 5: Solve for x
    x = 48,822,612.50/6,702.92
  6. Step 6: Final answer
    x = 7,283.78

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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.