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Finding the Fourth Proportional to 11,872.40, 17,803.20 and 6,324.32

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Solution

The fourth proportional to 11,872.40, 17,803.20 and 6,324.32 is: 9,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.40 : 17,803.20 = 6,324.32 : x
  2. Step 2: Convert to fraction form
    11,872.40/17,803.20 = 6,324.32/x
  3. Step 3: Cross multiply
    11,872.40x = 17,803.20 × 6,324.32
  4. Step 4: Simplify right side
    11,872.40x = 112,593,133.82
  5. Step 5: Solve for x
    x = 112,593,133.82/11,872.40
  6. Step 6: Final answer
    x = 9,483.60

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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.