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Finding the Fourth Proportional to 6,756.74, 9,319.17 and 5,814.11

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Solution

The fourth proportional to 6,756.74, 9,319.17 and 5,814.11 is: 8,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,756.74 : 9,319.17 = 5,814.11 : x
  2. Step 2: Convert to fraction form
    6,756.74/9,319.17 = 5,814.11/x
  3. Step 3: Cross multiply
    6,756.74x = 9,319.17 × 5,814.11
  4. Step 4: Simplify right side
    6,756.74x = 54,182,716.41
  5. Step 5: Solve for x
    x = 54,182,716.41/6,756.74
  6. Step 6: Final answer
    x = 8,019.06

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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.