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Finding the Fourth Proportional to 24,369.24, 36,549 and 6,839.24

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Solution

The fourth proportional to 24,369.24, 36,549 and 6,839.24 is: 10,257.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,369.24 : 36,549 = 6,839.24 : x
  2. Step 2: Convert to fraction form
    24,369.24/36,549 = 6,839.24/x
  3. Step 3: Cross multiply
    24,369.24x = 36,549 × 6,839.24
  4. Step 4: Simplify right side
    24,369.24x = 249,967,382.76
  5. Step 5: Solve for x
    x = 249,967,382.76/24,369.24
  6. Step 6: Final answer
    x = 10,257.50

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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.