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Finding the Fourth Proportional to 11,822.15, 17,718.15 and 6,278.15

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Solution

The fourth proportional to 11,822.15, 17,718.15 and 6,278.15 is: 9,409.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,822.15 : 17,718.15 = 6,278.15 : x
  2. Step 2: Convert to fraction form
    11,822.15/17,718.15 = 6,278.15/x
  3. Step 3: Cross multiply
    11,822.15x = 17,718.15 × 6,278.15
  4. Step 4: Simplify right side
    11,822.15x = 111,237,203.42
  5. Step 5: Solve for x
    x = 111,237,203.42/11,822.15
  6. Step 6: Final answer
    x = 9,409.22

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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.