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Finding the Fourth Proportional to 14,702.05, 20,288.96 and 7,987.69

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Solution

The fourth proportional to 14,702.05, 20,288.96 and 7,987.69 is: 11,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,702.05 : 20,288.96 = 7,987.69 : x
  2. Step 2: Convert to fraction form
    14,702.05/20,288.96 = 7,987.69/x
  3. Step 3: Cross multiply
    14,702.05x = 20,288.96 × 7,987.69
  4. Step 4: Simplify right side
    14,702.05x = 162,061,922.90
  5. Step 5: Solve for x
    x = 162,061,922.90/14,702.05
  6. Step 6: Final answer
    x = 11,023.08

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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.