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Finding the Fourth Proportional to 24,409.77, 36,613.97 and 7,770.80

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Solution

The fourth proportional to 24,409.77, 36,613.97 and 7,770.80 is: 11,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,409.77 : 36,613.97 = 7,770.80 : x
  2. Step 2: Convert to fraction form
    24,409.77/36,613.97 = 7,770.80/x
  3. Step 3: Cross multiply
    24,409.77x = 36,613.97 × 7,770.80
  4. Step 4: Simplify right side
    24,409.77x = 284,519,838.08
  5. Step 5: Solve for x
    x = 284,519,838.08/24,409.77
  6. Step 6: Final answer
    x = 11,655.98

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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.