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Finding the Fourth Proportional to 37,162.19, 55,743.06 and 9,082.39

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Solution

The fourth proportional to 37,162.19, 55,743.06 and 9,082.39 is: 13,623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,162.19 : 55,743.06 = 9,082.39 : x
  2. Step 2: Convert to fraction form
    37,162.19/55,743.06 = 9,082.39/x
  3. Step 3: Cross multiply
    37,162.19x = 55,743.06 × 9,082.39
  4. Step 4: Simplify right side
    37,162.19x = 506,280,071.36
  5. Step 5: Solve for x
    x = 506,280,071.36/37,162.19
  6. Step 6: Final answer
    x = 13,623.53

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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.