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Finding the Fourth Proportional to 9,676.56, 13,354.13 and 5,698.96

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Solution

The fourth proportional to 9,676.56, 13,354.13 and 5,698.96 is: 7,864.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.56 : 13,354.13 = 5,698.96 : x
  2. Step 2: Convert to fraction form
    9,676.56/13,354.13 = 5,698.96/x
  3. Step 3: Cross multiply
    9,676.56x = 13,354.13 × 5,698.96
  4. Step 4: Simplify right side
    9,676.56x = 76,104,633.57
  5. Step 5: Solve for x
    x = 76,104,633.57/9,676.56
  6. Step 6: Final answer
    x = 7,864.84

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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.