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Finding the Fourth Proportional to 6,856.40, 10,291.92 and 6,039.92

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Solution

The fourth proportional to 6,856.40, 10,291.92 and 6,039.92 is: 9,066.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.40 : 10,291.92 = 6,039.92 : x
  2. Step 2: Convert to fraction form
    6,856.40/10,291.92 = 6,039.92/x
  3. Step 3: Cross multiply
    6,856.40x = 10,291.92 × 6,039.92
  4. Step 4: Simplify right side
    6,856.40x = 62,162,373.45
  5. Step 5: Solve for x
    x = 62,162,373.45/6,856.40
  6. Step 6: Final answer
    x = 9,066.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.