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Finding the Fourth Proportional to 6,098.66, 9,148.86 and 1,882.27

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Solution

The fourth proportional to 6,098.66, 9,148.86 and 1,882.27 is: 2,823.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.66 : 9,148.86 = 1,882.27 : x
  2. Step 2: Convert to fraction form
    6,098.66/9,148.86 = 1,882.27/x
  3. Step 3: Cross multiply
    6,098.66x = 9,148.86 × 1,882.27
  4. Step 4: Simplify right side
    6,098.66x = 17,220,624.71
  5. Step 5: Solve for x
    x = 17,220,624.71/6,098.66
  6. Step 6: Final answer
    x = 2,823.67

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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.