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Finding the Fourth Proportional to 9,538.74, 14,309.74 and 3,616.14

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Solution

The fourth proportional to 9,538.74, 14,309.74 and 3,616.14 is: 5,424.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.74 : 14,309.74 = 3,616.14 : x
  2. Step 2: Convert to fraction form
    9,538.74/14,309.74 = 3,616.14/x
  3. Step 3: Cross multiply
    9,538.74x = 14,309.74 × 3,616.14
  4. Step 4: Simplify right side
    9,538.74x = 51,746,071.21
  5. Step 5: Solve for x
    x = 51,746,071.21/9,538.74
  6. Step 6: Final answer
    x = 5,424.83

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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.