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Finding the Fourth Proportional to 24,364.62, 36,548.82 and 7,724.16

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Solution

The fourth proportional to 24,364.62, 36,548.82 and 7,724.16 is: 11,586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,364.62 : 36,548.82 = 7,724.16 : x
  2. Step 2: Convert to fraction form
    24,364.62/36,548.82 = 7,724.16/x
  3. Step 3: Cross multiply
    24,364.62x = 36,548.82 × 7,724.16
  4. Step 4: Simplify right side
    24,364.62x = 282,308,933.49
  5. Step 5: Solve for x
    x = 282,308,933.49/24,364.62
  6. Step 6: Final answer
    x = 11,586.84

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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.