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Finding the Fourth Proportional to 11,463.12, 15,819.05 and 6,427.34

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Solution

The fourth proportional to 11,463.12, 15,819.05 and 6,427.34 is: 8,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.12 : 15,819.05 = 6,427.34 : x
  2. Step 2: Convert to fraction form
    11,463.12/15,819.05 = 6,427.34/x
  3. Step 3: Cross multiply
    11,463.12x = 15,819.05 × 6,427.34
  4. Step 4: Simplify right side
    11,463.12x = 101,674,301.60
  5. Step 5: Solve for x
    x = 101,674,301.60/11,463.12
  6. Step 6: Final answer
    x = 8,869.69

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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.