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Finding the Fourth Proportional to 4,609.28, 6,913.92 and 4,148.48

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Solution

The fourth proportional to 4,609.28, 6,913.92 and 4,148.48 is: 6,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.28 : 6,913.92 = 4,148.48 : x
  2. Step 2: Convert to fraction form
    4,609.28/6,913.92 = 4,148.48/x
  3. Step 3: Cross multiply
    4,609.28x = 6,913.92 × 4,148.48
  4. Step 4: Simplify right side
    4,609.28x = 28,682,258.84
  5. Step 5: Solve for x
    x = 28,682,258.84/4,609.28
  6. Step 6: Final answer
    x = 6,222.72

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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.