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Finding the Fourth Proportional to 10,702.93, 14,770.07 and 5,987.29

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Solution

The fourth proportional to 10,702.93, 14,770.07 and 5,987.29 is: 8,262.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,702.93 : 14,770.07 = 5,987.29 : x
  2. Step 2: Convert to fraction form
    10,702.93/14,770.07 = 5,987.29/x
  3. Step 3: Cross multiply
    10,702.93x = 14,770.07 × 5,987.29
  4. Step 4: Simplify right side
    10,702.93x = 88,432,692.41
  5. Step 5: Solve for x
    x = 88,432,692.41/10,702.93
  6. Step 6: Final answer
    x = 8,262.48

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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.