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Finding the Fourth Proportional to 6,089.74, 9,155.47 and 5,633.21

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Solution

The fourth proportional to 6,089.74, 9,155.47 and 5,633.21 is: 8,469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.74 : 9,155.47 = 5,633.21 : x
  2. Step 2: Convert to fraction form
    6,089.74/9,155.47 = 5,633.21/x
  3. Step 3: Cross multiply
    6,089.74x = 9,155.47 × 5,633.21
  4. Step 4: Simplify right side
    6,089.74x = 51,574,685.16
  5. Step 5: Solve for x
    x = 51,574,685.16/6,089.74
  6. Step 6: Final answer
    x = 8,469.11

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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.