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Finding the Fourth Proportional to 9,805.82, 13,532.02 and 5,329.56

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Solution

The fourth proportional to 9,805.82, 13,532.02 and 5,329.56 is: 7,354.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.82 : 13,532.02 = 5,329.56 : x
  2. Step 2: Convert to fraction form
    9,805.82/13,532.02 = 5,329.56/x
  3. Step 3: Cross multiply
    9,805.82x = 13,532.02 × 5,329.56
  4. Step 4: Simplify right side
    9,805.82x = 72,119,712.51
  5. Step 5: Solve for x
    x = 72,119,712.51/9,805.82
  6. Step 6: Final answer
    x = 7,354.79

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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.