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Finding the Fourth Proportional to 10,713.52, 14,786.13 and 6,464.80

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Solution

The fourth proportional to 10,713.52, 14,786.13 and 6,464.80 is: 8,922.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.52 : 14,786.13 = 6,464.80 : x
  2. Step 2: Convert to fraction form
    10,713.52/14,786.13 = 6,464.80/x
  3. Step 3: Cross multiply
    10,713.52x = 14,786.13 × 6,464.80
  4. Step 4: Simplify right side
    10,713.52x = 95,589,373.22
  5. Step 5: Solve for x
    x = 95,589,373.22/10,713.52
  6. Step 6: Final answer
    x = 8,922.31

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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.