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Finding the Fourth Proportional to 6,896.25, 9,513.87 and 5,398.16

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Solution

The fourth proportional to 6,896.25, 9,513.87 and 5,398.16 is: 7,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.25 : 9,513.87 = 5,398.16 : x
  2. Step 2: Convert to fraction form
    6,896.25/9,513.87 = 5,398.16/x
  3. Step 3: Cross multiply
    6,896.25x = 9,513.87 × 5,398.16
  4. Step 4: Simplify right side
    6,896.25x = 51,357,344.91
  5. Step 5: Solve for x
    x = 51,357,344.91/6,896.25
  6. Step 6: Final answer
    x = 7,447.14

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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.