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Finding the Fourth Proportional to 9,722, 13,418.80 and 5,532.68

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Solution

The fourth proportional to 9,722, 13,418.80 and 5,532.68 is: 7,636.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,722 : 13,418.80 = 5,532.68 : x
  2. Step 2: Convert to fraction form
    9,722/13,418.80 = 5,532.68/x
  3. Step 3: Cross multiply
    9,722x = 13,418.80 × 5,532.68
  4. Step 4: Simplify right side
    9,722x = 74,241,926.38
  5. Step 5: Solve for x
    x = 74,241,926.38/9,722
  6. Step 6: Final answer
    x = 7,636.49

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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.