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Finding the Fourth Proportional to 7,144.78, 9,851.18 and 6,148.32

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Solution

The fourth proportional to 7,144.78, 9,851.18 and 6,148.32 is: 8,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,144.78 : 9,851.18 = 6,148.32 : x
  2. Step 2: Convert to fraction form
    7,144.78/9,851.18 = 6,148.32/x
  3. Step 3: Cross multiply
    7,144.78x = 9,851.18 × 6,148.32
  4. Step 4: Simplify right side
    7,144.78x = 60,568,207.02
  5. Step 5: Solve for x
    x = 60,568,207.02/7,144.78
  6. Step 6: Final answer
    x = 8,477.27

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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.