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Finding the Fourth Proportional to 9,722.67, 14,508.14 and 8,675.46

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Solution

The fourth proportional to 9,722.67, 14,508.14 and 8,675.46 is: 12,945.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.67 : 14,508.14 = 8,675.46 : x
  2. Step 2: Convert to fraction form
    9,722.67/14,508.14 = 8,675.46/x
  3. Step 3: Cross multiply
    9,722.67x = 14,508.14 × 8,675.46
  4. Step 4: Simplify right side
    9,722.67x = 125,864,744.87
  5. Step 5: Solve for x
    x = 125,864,744.87/9,722.67
  6. Step 6: Final answer
    x = 12,945.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.