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Finding the Fourth Proportional to 6,856.76, 9,462.36 and 3,712.96

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Solution

The fourth proportional to 6,856.76, 9,462.36 and 3,712.96 is: 5,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,856.76 : 9,462.36 = 3,712.96 : x
  2. Step 2: Convert to fraction form
    6,856.76/9,462.36 = 3,712.96/x
  3. Step 3: Cross multiply
    6,856.76x = 9,462.36 × 3,712.96
  4. Step 4: Simplify right side
    6,856.76x = 35,133,364.19
  5. Step 5: Solve for x
    x = 35,133,364.19/6,856.76
  6. Step 6: Final answer
    x = 5,123.90

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Half scale
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Double scale
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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.