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Finding the Fourth Proportional to 6,839.68, 9,440.58 and 4,007.68

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Solution

The fourth proportional to 6,839.68, 9,440.58 and 4,007.68 is: 5,531.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.68 : 9,440.58 = 4,007.68 : x
  2. Step 2: Convert to fraction form
    6,839.68/9,440.58 = 4,007.68/x
  3. Step 3: Cross multiply
    6,839.68x = 9,440.58 × 4,007.68
  4. Step 4: Simplify right side
    6,839.68x = 37,834,823.65
  5. Step 5: Solve for x
    x = 37,834,823.65/6,839.68
  6. Step 6: Final answer
    x = 5,531.67

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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.