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Finding the Fourth Proportional to 11,174.76, 15,421.86 and 6,206.76

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Solution

The fourth proportional to 11,174.76, 15,421.86 and 6,206.76 is: 8,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,174.76 : 15,421.86 = 6,206.76 : x
  2. Step 2: Convert to fraction form
    11,174.76/15,421.86 = 6,206.76/x
  3. Step 3: Cross multiply
    11,174.76x = 15,421.86 × 6,206.76
  4. Step 4: Simplify right side
    11,174.76x = 95,719,783.77
  5. Step 5: Solve for x
    x = 95,719,783.77/11,174.76
  6. Step 6: Final answer
    x = 8,565.71

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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.