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Finding the Fourth Proportional to 9,738.95, 13,446.17 and 7,496.87

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Solution

The fourth proportional to 9,738.95, 13,446.17 and 7,496.87 is: 10,350.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.95 : 13,446.17 = 7,496.87 : x
  2. Step 2: Convert to fraction form
    9,738.95/13,446.17 = 7,496.87/x
  3. Step 3: Cross multiply
    9,738.95x = 13,446.17 × 7,496.87
  4. Step 4: Simplify right side
    9,738.95x = 100,804,083.77
  5. Step 5: Solve for x
    x = 100,804,083.77/9,738.95
  6. Step 6: Final answer
    x = 10,350.62

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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.