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Finding the Fourth Proportional to 6,904.96, 9,532.40 and 4,253.92

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Solution

The fourth proportional to 6,904.96, 9,532.40 and 4,253.92 is: 5,872.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,904.96 : 9,532.40 = 4,253.92 : x
  2. Step 2: Convert to fraction form
    6,904.96/9,532.40 = 4,253.92/x
  3. Step 3: Cross multiply
    6,904.96x = 9,532.40 × 4,253.92
  4. Step 4: Simplify right side
    6,904.96x = 40,550,067.01
  5. Step 5: Solve for x
    x = 40,550,067.01/6,904.96
  6. Step 6: Final answer
    x = 5,872.60

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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.