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Finding the Fourth Proportional to 4,638.16, 6,401.62 and 4,264.54

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Solution

The fourth proportional to 4,638.16, 6,401.62 and 4,264.54 is: 5,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.16 : 6,401.62 = 4,264.54 : x
  2. Step 2: Convert to fraction form
    4,638.16/6,401.62 = 4,264.54/x
  3. Step 3: Cross multiply
    4,638.16x = 6,401.62 × 4,264.54
  4. Step 4: Simplify right side
    4,638.16x = 27,299,964.55
  5. Step 5: Solve for x
    x = 27,299,964.55/4,638.16
  6. Step 6: Final answer
    x = 5,885.95

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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.