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Finding the Fourth Proportional to 9,842.06, 13,676.08 and 9,717.86

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Solution

The fourth proportional to 9,842.06, 13,676.08 and 9,717.86 is: 13,503.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.06 : 13,676.08 = 9,717.86 : x
  2. Step 2: Convert to fraction form
    9,842.06/13,676.08 = 9,717.86/x
  3. Step 3: Cross multiply
    9,842.06x = 13,676.08 × 9,717.86
  4. Step 4: Simplify right side
    9,842.06x = 132,902,230.79
  5. Step 5: Solve for x
    x = 132,902,230.79/9,842.06
  6. Step 6: Final answer
    x = 13,503.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.