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Finding the Fourth Proportional to 10,987, 15,162.38 and 6,019.32

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Solution

The fourth proportional to 10,987, 15,162.38 and 6,019.32 is: 8,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987 : 15,162.38 = 6,019.32 : x
  2. Step 2: Convert to fraction form
    10,987/15,162.38 = 6,019.32/x
  3. Step 3: Cross multiply
    10,987x = 15,162.38 × 6,019.32
  4. Step 4: Simplify right side
    10,987x = 91,267,217.18
  5. Step 5: Solve for x
    x = 91,267,217.18/10,987
  6. Step 6: Final answer
    x = 8,306.84

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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.