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Finding the Fourth Proportional to 6,319.44, 9,404.52 and 6,109.21

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Solution

The fourth proportional to 6,319.44, 9,404.52 and 6,109.21 is: 9,091.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,319.44 : 9,404.52 = 6,109.21 : x
  2. Step 2: Convert to fraction form
    6,319.44/9,404.52 = 6,109.21/x
  3. Step 3: Cross multiply
    6,319.44x = 9,404.52 × 6,109.21
  4. Step 4: Simplify right side
    6,319.44x = 57,454,187.63
  5. Step 5: Solve for x
    x = 57,454,187.63/6,319.44
  6. Step 6: Final answer
    x = 9,091.66

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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.