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Finding the Fourth Proportional to 9,604.98, 14,374.80 and 7,057.80

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Solution

The fourth proportional to 9,604.98, 14,374.80 and 7,057.80 is: 10,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.98 : 14,374.80 = 7,057.80 : x
  2. Step 2: Convert to fraction form
    9,604.98/14,374.80 = 7,057.80/x
  3. Step 3: Cross multiply
    9,604.98x = 14,374.80 × 7,057.80
  4. Step 4: Simplify right side
    9,604.98x = 101,454,463.44
  5. Step 5: Solve for x
    x = 101,454,463.44/9,604.98
  6. Step 6: Final answer
    x = 10,562.69

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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.