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Finding the Fourth Proportional to 9,805.44, 13,531.44 and 5,329.08

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Solution

The fourth proportional to 9,805.44, 13,531.44 and 5,329.08 is: 7,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.44 : 13,531.44 = 5,329.08 : x
  2. Step 2: Convert to fraction form
    9,805.44/13,531.44 = 5,329.08/x
  3. Step 3: Cross multiply
    9,805.44x = 13,531.44 × 5,329.08
  4. Step 4: Simplify right side
    9,805.44x = 72,110,126.28
  5. Step 5: Solve for x
    x = 72,110,126.28/9,805.44
  6. Step 6: Final answer
    x = 7,354.09

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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.