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Finding the Fourth Proportional to 6,284.28, 9,406.98 and 5,351.16

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Solution

The fourth proportional to 6,284.28, 9,406.98 and 5,351.16 is: 8,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,284.28 : 9,406.98 = 5,351.16 : x
  2. Step 2: Convert to fraction form
    6,284.28/9,406.98 = 5,351.16/x
  3. Step 3: Cross multiply
    6,284.28x = 9,406.98 × 5,351.16
  4. Step 4: Simplify right side
    6,284.28x = 50,338,255.10
  5. Step 5: Solve for x
    x = 50,338,255.10/6,284.28
  6. Step 6: Final answer
    x = 8,010.19

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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.