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Finding the Fourth Proportional to 12,817.01, 19,203.64 and 6,963.14

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Solution

The fourth proportional to 12,817.01, 19,203.64 and 6,963.14 is: 10,432.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,817.01 : 19,203.64 = 6,963.14 : x
  2. Step 2: Convert to fraction form
    12,817.01/19,203.64 = 6,963.14/x
  3. Step 3: Cross multiply
    12,817.01x = 19,203.64 × 6,963.14
  4. Step 4: Simplify right side
    12,817.01x = 133,717,633.83
  5. Step 5: Solve for x
    x = 133,717,633.83/12,817.01
  6. Step 6: Final answer
    x = 10,432.83

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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.