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Finding the Fourth Proportional to 12,411.02, 17,127.51 and 6,822.02

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Solution

The fourth proportional to 12,411.02, 17,127.51 and 6,822.02 is: 9,414.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,411.02 : 17,127.51 = 6,822.02 : x
  2. Step 2: Convert to fraction form
    12,411.02/17,127.51 = 6,822.02/x
  3. Step 3: Cross multiply
    12,411.02x = 17,127.51 × 6,822.02
  4. Step 4: Simplify right side
    12,411.02x = 116,844,215.77
  5. Step 5: Solve for x
    x = 116,844,215.77/12,411.02
  6. Step 6: Final answer
    x = 9,414.55

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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.