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Finding the Fourth Proportional to 12,963.16, 17,882.94 and 8,484.94

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Solution

The fourth proportional to 12,963.16, 17,882.94 and 8,484.94 is: 11,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.16 : 17,882.94 = 8,484.94 : x
  2. Step 2: Convert to fraction form
    12,963.16/17,882.94 = 8,484.94/x
  3. Step 3: Cross multiply
    12,963.16x = 17,882.94 × 8,484.94
  4. Step 4: Simplify right side
    12,963.16x = 151,735,672.92
  5. Step 5: Solve for x
    x = 151,735,672.92/12,963.16
  6. Step 6: Final answer
    x = 11,705.15

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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.