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Finding the Fourth Proportional to 9,799.52, 13,523.58 and 5,323.22

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Solution

The fourth proportional to 9,799.52, 13,523.58 and 5,323.22 is: 7,346.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.52 : 13,523.58 = 5,323.22 : x
  2. Step 2: Convert to fraction form
    9,799.52/13,523.58 = 5,323.22/x
  3. Step 3: Cross multiply
    9,799.52x = 13,523.58 × 5,323.22
  4. Step 4: Simplify right side
    9,799.52x = 71,988,991.53
  5. Step 5: Solve for x
    x = 71,988,991.53/9,799.52
  6. Step 6: Final answer
    x = 7,346.18

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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.