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Finding the Fourth Proportional to 8,963.72, 12,369.14 and 5,237

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Solution

The fourth proportional to 8,963.72, 12,369.14 and 5,237 is: 7,226.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.72 : 12,369.14 = 5,237 : x
  2. Step 2: Convert to fraction form
    8,963.72/12,369.14 = 5,237/x
  3. Step 3: Cross multiply
    8,963.72x = 12,369.14 × 5,237
  4. Step 4: Simplify right side
    8,963.72x = 64,777,186.18
  5. Step 5: Solve for x
    x = 64,777,186.18/8,963.72
  6. Step 6: Final answer
    x = 7,226.60

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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.