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Finding the Fourth Proportional to 11,383.34, 15,709.06 and 6,347.88

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Solution

The fourth proportional to 11,383.34, 15,709.06 and 6,347.88 is: 8,760.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,383.34 : 15,709.06 = 6,347.88 : x
  2. Step 2: Convert to fraction form
    11,383.34/15,709.06 = 6,347.88/x
  3. Step 3: Cross multiply
    11,383.34x = 15,709.06 × 6,347.88
  4. Step 4: Simplify right side
    11,383.34x = 99,719,227.79
  5. Step 5: Solve for x
    x = 99,719,227.79/11,383.34
  6. Step 6: Final answer
    x = 8,760.10

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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.