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Finding the Fourth Proportional to 24,276.50, 36,405.94 and 8,477.10

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Solution

The fourth proportional to 24,276.50, 36,405.94 and 8,477.10 is: 12,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,276.50 : 36,405.94 = 8,477.10 : x
  2. Step 2: Convert to fraction form
    24,276.50/36,405.94 = 8,477.10/x
  3. Step 3: Cross multiply
    24,276.50x = 36,405.94 × 8,477.10
  4. Step 4: Simplify right side
    24,276.50x = 308,616,793.97
  5. Step 5: Solve for x
    x = 308,616,793.97/24,276.50
  6. Step 6: Final answer
    x = 12,712.57

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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.