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Finding the Fourth Proportional to 9,676.77, 13,358.03 and 6,537.21

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Solution

The fourth proportional to 9,676.77, 13,358.03 and 6,537.21 is: 9,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.77 : 13,358.03 = 6,537.21 : x
  2. Step 2: Convert to fraction form
    9,676.77/13,358.03 = 6,537.21/x
  3. Step 3: Cross multiply
    9,676.77x = 13,358.03 × 6,537.21
  4. Step 4: Simplify right side
    9,676.77x = 87,324,214.61
  5. Step 5: Solve for x
    x = 87,324,214.61/9,676.77
  6. Step 6: Final answer
    x = 9,024.11

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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.