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Finding the Fourth Proportional to 6,993.96, 9,648.77 and 4,160.77

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Solution

The fourth proportional to 6,993.96, 9,648.77 and 4,160.77 is: 5,740.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.96 : 9,648.77 = 4,160.77 : x
  2. Step 2: Convert to fraction form
    6,993.96/9,648.77 = 4,160.77/x
  3. Step 3: Cross multiply
    6,993.96x = 9,648.77 × 4,160.77
  4. Step 4: Simplify right side
    6,993.96x = 40,146,291.23
  5. Step 5: Solve for x
    x = 40,146,291.23/6,993.96
  6. Step 6: Final answer
    x = 5,740.14

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Half 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.