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Finding the Fourth Proportional to 24,307.84, 36,463.76 and 6,777.84

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Solution

The fourth proportional to 24,307.84, 36,463.76 and 6,777.84 is: 10,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,307.84 : 36,463.76 = 6,777.84 : x
  2. Step 2: Convert to fraction form
    24,307.84/36,463.76 = 6,777.84/x
  3. Step 3: Cross multiply
    24,307.84x = 36,463.76 × 6,777.84
  4. Step 4: Simplify right side
    24,307.84x = 247,145,531.08
  5. Step 5: Solve for x
    x = 247,145,531.08/24,307.84
  6. Step 6: Final answer
    x = 10,167.32

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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.