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Finding the Fourth Proportional to 7,228.23, 9,963.41 and 5,899.65

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Solution

The fourth proportional to 7,228.23, 9,963.41 and 5,899.65 is: 8,132.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.23 : 9,963.41 = 5,899.65 : x
  2. Step 2: Convert to fraction form
    7,228.23/9,963.41 = 5,899.65/x
  3. Step 3: Cross multiply
    7,228.23x = 9,963.41 × 5,899.65
  4. Step 4: Simplify right side
    7,228.23x = 58,780,631.81
  5. Step 5: Solve for x
    x = 58,780,631.81/7,228.23
  6. Step 6: Final answer
    x = 8,132.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.