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Finding the Fourth Proportional to 9,593.40, 14,411.70 and 9,226.20

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Solution

The fourth proportional to 9,593.40, 14,411.70 and 9,226.20 is: 13,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.40 : 14,411.70 = 9,226.20 : x
  2. Step 2: Convert to fraction form
    9,593.40/14,411.70 = 9,226.20/x
  3. Step 3: Cross multiply
    9,593.40x = 14,411.70 × 9,226.20
  4. Step 4: Simplify right side
    9,593.40x = 132,965,226.54
  5. Step 5: Solve for x
    x = 132,965,226.54/9,593.40
  6. Step 6: Final answer
    x = 13,860.07

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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.