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Finding the Fourth Proportional to 6,993.46, 9,645.24 and 5,102.92

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Solution

The fourth proportional to 6,993.46, 9,645.24 and 5,102.92 is: 7,037.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.46 : 9,645.24 = 5,102.92 : x
  2. Step 2: Convert to fraction form
    6,993.46/9,645.24 = 5,102.92/x
  3. Step 3: Cross multiply
    6,993.46x = 9,645.24 × 5,102.92
  4. Step 4: Simplify right side
    6,993.46x = 49,218,888.10
  5. Step 5: Solve for x
    x = 49,218,888.10/6,993.46
  6. Step 6: Final answer
    x = 7,037.85

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Double scale
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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.