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Finding the Fourth Proportional to 7,702.20, 11,531.70 and 7,486.20

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Solution

The fourth proportional to 7,702.20, 11,531.70 and 7,486.20 is: 11,208.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.20 : 11,531.70 = 7,486.20 : x
  2. Step 2: Convert to fraction form
    7,702.20/11,531.70 = 7,486.20/x
  3. Step 3: Cross multiply
    7,702.20x = 11,531.70 × 7,486.20
  4. Step 4: Simplify right side
    7,702.20x = 86,328,612.54
  5. Step 5: Solve for x
    x = 86,328,612.54/7,702.20
  6. Step 6: Final answer
    x = 11,208.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.