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Finding the Fourth Proportional to 6,808.74, 9,397.08 and 4,157.68

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Solution

The fourth proportional to 6,808.74, 9,397.08 and 4,157.68 is: 5,738.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,808.74 : 9,397.08 = 4,157.68 : x
  2. Step 2: Convert to fraction form
    6,808.74/9,397.08 = 4,157.68/x
  3. Step 3: Cross multiply
    6,808.74x = 9,397.08 × 4,157.68
  4. Step 4: Simplify right side
    6,808.74x = 39,070,051.57
  5. Step 5: Solve for x
    x = 39,070,051.57/6,808.74
  6. Step 6: Final answer
    x = 5,738.22

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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.