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Finding the Fourth Proportional to 9,657.74, 14,488.87 and 2,993.89

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Solution

The fourth proportional to 9,657.74, 14,488.87 and 2,993.89 is: 4,491.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.74 : 14,488.87 = 2,993.89 : x
  2. Step 2: Convert to fraction form
    9,657.74/14,488.87 = 2,993.89/x
  3. Step 3: Cross multiply
    9,657.74x = 14,488.87 × 2,993.89
  4. Step 4: Simplify right side
    9,657.74x = 43,377,995.59
  5. Step 5: Solve for x
    x = 43,377,995.59/9,657.74
  6. Step 6: Final answer
    x = 4,491.53

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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.