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Finding the Fourth Proportional to 6,407.50, 8,841.91 and 3,718.80

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Solution

The fourth proportional to 6,407.50, 8,841.91 and 3,718.80 is: 5,131.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.50 : 8,841.91 = 3,718.80 : x
  2. Step 2: Convert to fraction form
    6,407.50/8,841.91 = 3,718.80/x
  3. Step 3: Cross multiply
    6,407.50x = 8,841.91 × 3,718.80
  4. Step 4: Simplify right side
    6,407.50x = 32,881,241.40
  5. Step 5: Solve for x
    x = 32,881,241.40/6,407.50
  6. Step 6: Final answer
    x = 5,131.68

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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.