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Finding the Fourth Proportional to 9,956.92, 14,938.80 and 7,201.12

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Solution

The fourth proportional to 9,956.92, 14,938.80 and 7,201.12 is: 10,804.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.92 : 14,938.80 = 7,201.12 : x
  2. Step 2: Convert to fraction form
    9,956.92/14,938.80 = 7,201.12/x
  3. Step 3: Cross multiply
    9,956.92x = 14,938.80 × 7,201.12
  4. Step 4: Simplify right side
    9,956.92x = 107,576,091.46
  5. Step 5: Solve for x
    x = 107,576,091.46/9,956.92
  6. Step 6: Final answer
    x = 10,804.15

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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.