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Finding the Fourth Proportional to 7,072.92, 9,749.43 and 5,652.11

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Solution

The fourth proportional to 7,072.92, 9,749.43 and 5,652.11 is: 7,790.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,072.92 : 9,749.43 = 5,652.11 : x
  2. Step 2: Convert to fraction form
    7,072.92/9,749.43 = 5,652.11/x
  3. Step 3: Cross multiply
    7,072.92x = 9,749.43 × 5,652.11
  4. Step 4: Simplify right side
    7,072.92x = 55,104,875.17
  5. Step 5: Solve for x
    x = 55,104,875.17/7,072.92
  6. Step 6: Final answer
    x = 7,790.97

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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.