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Finding the Fourth Proportional to 7,760.52, 11,581.16 and 6,930.12

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Solution

The fourth proportional to 7,760.52, 11,581.16 and 6,930.12 is: 10,341.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.52 : 11,581.16 = 6,930.12 : x
  2. Step 2: Convert to fraction form
    7,760.52/11,581.16 = 6,930.12/x
  3. Step 3: Cross multiply
    7,760.52x = 11,581.16 × 6,930.12
  4. Step 4: Simplify right side
    7,760.52x = 80,258,828.54
  5. Step 5: Solve for x
    x = 80,258,828.54/7,760.52
  6. Step 6: Final answer
    x = 10,341.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.