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Finding the Fourth Proportional to 10,589.00, 15,790.98 and 9,278.85

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Solution

The fourth proportional to 10,589.00, 15,790.98 and 9,278.85 is: 13,837.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.00 : 15,790.98 = 9,278.85 : x
  2. Step 2: Convert to fraction form
    10,589.00/15,790.98 = 9,278.85/x
  3. Step 3: Cross multiply
    10,589.00x = 15,790.98 × 9,278.85
  4. Step 4: Simplify right side
    10,589.00x = 146,522,150.49
  5. Step 5: Solve for x
    x = 146,522,150.49/10,589.00
  6. Step 6: Final answer
    x = 13,837.20

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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.