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Finding the Fourth Proportional to 6,228.65, 9,342.95 and 1,846.45

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Solution

The fourth proportional to 6,228.65, 9,342.95 and 1,846.45 is: 2,769.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,228.65 : 9,342.95 = 1,846.45 : x
  2. Step 2: Convert to fraction form
    6,228.65/9,342.95 = 1,846.45/x
  3. Step 3: Cross multiply
    6,228.65x = 9,342.95 × 1,846.45
  4. Step 4: Simplify right side
    6,228.65x = 17,251,290.03
  5. Step 5: Solve for x
    x = 17,251,290.03/6,228.65
  6. Step 6: Final answer
    x = 2,769.67

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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.