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Finding the Fourth Proportional to 11,848.92, 16,352.04 and 6,814.76

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Solution

The fourth proportional to 11,848.92, 16,352.04 and 6,814.76 is: 9,404.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.92 : 16,352.04 = 6,814.76 : x
  2. Step 2: Convert to fraction form
    11,848.92/16,352.04 = 6,814.76/x
  3. Step 3: Cross multiply
    11,848.92x = 16,352.04 × 6,814.76
  4. Step 4: Simplify right side
    11,848.92x = 111,435,228.11
  5. Step 5: Solve for x
    x = 111,435,228.11/11,848.92
  6. Step 6: Final answer
    x = 9,404.67

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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.