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Finding the Fourth Proportional to 11,463.84, 15,822.12 and 6,684.48

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Solution

The fourth proportional to 11,463.84, 15,822.12 and 6,684.48 is: 9,225.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.84 : 15,822.12 = 6,684.48 : x
  2. Step 2: Convert to fraction form
    11,463.84/15,822.12 = 6,684.48/x
  3. Step 3: Cross multiply
    11,463.84x = 15,822.12 × 6,684.48
  4. Step 4: Simplify right side
    11,463.84x = 105,762,644.70
  5. Step 5: Solve for x
    x = 105,762,644.70/11,463.84
  6. Step 6: Final answer
    x = 9,225.76

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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.