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Finding the Fourth Proportional to 6,713.68, 10,069.80 and 4,112.08

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Solution

The fourth proportional to 6,713.68, 10,069.80 and 4,112.08 is: 6,167.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.68 : 10,069.80 = 4,112.08 : x
  2. Step 2: Convert to fraction form
    6,713.68/10,069.80 = 4,112.08/x
  3. Step 3: Cross multiply
    6,713.68x = 10,069.80 × 4,112.08
  4. Step 4: Simplify right side
    6,713.68x = 41,407,823.18
  5. Step 5: Solve for x
    x = 41,407,823.18/6,713.68
  6. Step 6: Final answer
    x = 6,167.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.