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Finding the Fourth Proportional to 8,402.56, 11,595.42 and 4,676.56

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Solution

The fourth proportional to 8,402.56, 11,595.42 and 4,676.56 is: 6,453.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.56 : 11,595.42 = 4,676.56 : x
  2. Step 2: Convert to fraction form
    8,402.56/11,595.42 = 4,676.56/x
  3. Step 3: Cross multiply
    8,402.56x = 11,595.42 × 4,676.56
  4. Step 4: Simplify right side
    8,402.56x = 54,226,677.36
  5. Step 5: Solve for x
    x = 54,226,677.36/8,402.56
  6. Step 6: Final answer
    x = 6,453.59

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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.