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Finding the Fourth Proportional to 9,874.04, 14,684.09 and 9,562.56

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Solution

The fourth proportional to 9,874.04, 14,684.09 and 9,562.56 is: 14,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.04 : 14,684.09 = 9,562.56 : x
  2. Step 2: Convert to fraction form
    9,874.04/14,684.09 = 9,562.56/x
  3. Step 3: Cross multiply
    9,874.04x = 14,684.09 × 9,562.56
  4. Step 4: Simplify right side
    9,874.04x = 140,417,388.79
  5. Step 5: Solve for x
    x = 140,417,388.79/9,874.04
  6. Step 6: Final answer
    x = 14,220.87

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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.