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Finding the Fourth Proportional to 9,722.70, 14,562.45 and 7,994.70

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Solution

The fourth proportional to 9,722.70, 14,562.45 and 7,994.70 is: 11,974.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722.70 : 14,562.45 = 7,994.70 : x
  2. Step 2: Convert to fraction form
    9,722.70/14,562.45 = 7,994.70/x
  3. Step 3: Cross multiply
    9,722.70x = 14,562.45 × 7,994.70
  4. Step 4: Simplify right side
    9,722.70x = 116,422,419.02
  5. Step 5: Solve for x
    x = 116,422,419.02/9,722.70
  6. Step 6: Final answer
    x = 11,974.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.