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Finding the Fourth Proportional to 6,503.25, 8,971.53 and 4,143.92

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Solution

The fourth proportional to 6,503.25, 8,971.53 and 4,143.92 is: 5,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.25 : 8,971.53 = 4,143.92 : x
  2. Step 2: Convert to fraction form
    6,503.25/8,971.53 = 4,143.92/x
  3. Step 3: Cross multiply
    6,503.25x = 8,971.53 × 4,143.92
  4. Step 4: Simplify right side
    6,503.25x = 37,177,302.60
  5. Step 5: Solve for x
    x = 37,177,302.60/6,503.25
  6. Step 6: Final answer
    x = 5,716.73

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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.