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Finding the Fourth Proportional to 6,534.36, 9,801.18 and 6,149.10

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Solution

The fourth proportional to 6,534.36, 9,801.18 and 6,149.10 is: 9,223.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.36 : 9,801.18 = 6,149.10 : x
  2. Step 2: Convert to fraction form
    6,534.36/9,801.18 = 6,149.10/x
  3. Step 3: Cross multiply
    6,534.36x = 9,801.18 × 6,149.10
  4. Step 4: Simplify right side
    6,534.36x = 60,268,435.94
  5. Step 5: Solve for x
    x = 60,268,435.94/6,534.36
  6. Step 6: Final answer
    x = 9,223.31

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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.