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Finding the Fourth Proportional to 11,702.16, 16,139.88 and 6,985.44

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Solution

The fourth proportional to 11,702.16, 16,139.88 and 6,985.44 is: 9,634.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,702.16 : 16,139.88 = 6,985.44 : x
  2. Step 2: Convert to fraction form
    11,702.16/16,139.88 = 6,985.44/x
  3. Step 3: Cross multiply
    11,702.16x = 16,139.88 × 6,985.44
  4. Step 4: Simplify right side
    11,702.16x = 112,744,163.35
  5. Step 5: Solve for x
    x = 112,744,163.35/11,702.16
  6. Step 6: Final answer
    x = 9,634.47

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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.