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Finding the Fourth Proportional to 10,702.36, 14,770.36 and 6,165.20

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Solution

The fourth proportional to 10,702.36, 14,770.36 and 6,165.20 is: 8,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.36 : 14,770.36 = 6,165.20 : x
  2. Step 2: Convert to fraction form
    10,702.36/14,770.36 = 6,165.20/x
  3. Step 3: Cross multiply
    10,702.36x = 14,770.36 × 6,165.20
  4. Step 4: Simplify right side
    10,702.36x = 91,062,223.47
  5. Step 5: Solve for x
    x = 91,062,223.47/10,702.36
  6. Step 6: Final answer
    x = 8,508.61

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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.