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Finding the Fourth Proportional to 9,938.13, 14,896.81 and 7,301.71

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Solution

The fourth proportional to 9,938.13, 14,896.81 and 7,301.71 is: 10,944.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.13 : 14,896.81 = 7,301.71 : x
  2. Step 2: Convert to fraction form
    9,938.13/14,896.81 = 7,301.71/x
  3. Step 3: Cross multiply
    9,938.13x = 14,896.81 × 7,301.71
  4. Step 4: Simplify right side
    9,938.13x = 108,772,214.29
  5. Step 5: Solve for x
    x = 108,772,214.29/9,938.13
  6. Step 6: Final answer
    x = 10,944.94

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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.