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Finding the Fourth Proportional to 4,616.53, 6,371.46 and 2,848.50

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Solution

The fourth proportional to 4,616.53, 6,371.46 and 2,848.50 is: 3,931.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,616.53 : 6,371.46 = 2,848.50 : x
  2. Step 2: Convert to fraction form
    4,616.53/6,371.46 = 2,848.50/x
  3. Step 3: Cross multiply
    4,616.53x = 6,371.46 × 2,848.50
  4. Step 4: Simplify right side
    4,616.53x = 18,149,103.81
  5. Step 5: Solve for x
    x = 18,149,103.81/4,616.53
  6. Step 6: Final answer
    x = 3,931.33

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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.