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Finding the Fourth Proportional to 6,552.30, 9,805.37 and 5,368.08

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Solution

The fourth proportional to 6,552.30, 9,805.37 and 5,368.08 is: 8,033.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.30 : 9,805.37 = 5,368.08 : x
  2. Step 2: Convert to fraction form
    6,552.30/9,805.37 = 5,368.08/x
  3. Step 3: Cross multiply
    6,552.30x = 9,805.37 × 5,368.08
  4. Step 4: Simplify right side
    6,552.30x = 52,635,983.75
  5. Step 5: Solve for x
    x = 52,635,983.75/6,552.30
  6. Step 6: Final answer
    x = 8,033.21

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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.