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Finding the Fourth Proportional to 11,848.16, 16,353.14 and 8,494.76

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Solution

The fourth proportional to 11,848.16, 16,353.14 and 8,494.76 is: 11,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.16 : 16,353.14 = 8,494.76 : x
  2. Step 2: Convert to fraction form
    11,848.16/16,353.14 = 8,494.76/x
  3. Step 3: Cross multiply
    11,848.16x = 16,353.14 × 8,494.76
  4. Step 4: Simplify right side
    11,848.16x = 138,915,999.55
  5. Step 5: Solve for x
    x = 138,915,999.55/11,848.16
  6. Step 6: Final answer
    x = 11,724.69

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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.