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Finding the Fourth Proportional to 6,409.86, 8,843.14 and 3,756.30

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Solution

The fourth proportional to 6,409.86, 8,843.14 and 3,756.30 is: 5,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.86 : 8,843.14 = 3,756.30 : x
  2. Step 2: Convert to fraction form
    6,409.86/8,843.14 = 3,756.30/x
  3. Step 3: Cross multiply
    6,409.86x = 8,843.14 × 3,756.30
  4. Step 4: Simplify right side
    6,409.86x = 33,217,486.78
  5. Step 5: Solve for x
    x = 33,217,486.78/6,409.86
  6. Step 6: Final answer
    x = 5,182.25

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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.