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Finding the Fourth Proportional to 7,803.86, 10,768.86 and 4,446.20

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Solution

The fourth proportional to 7,803.86, 10,768.86 and 4,446.20 is: 6,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.86 : 10,768.86 = 4,446.20 : x
  2. Step 2: Convert to fraction form
    7,803.86/10,768.86 = 4,446.20/x
  3. Step 3: Cross multiply
    7,803.86x = 10,768.86 × 4,446.20
  4. Step 4: Simplify right side
    7,803.86x = 47,880,451.49
  5. Step 5: Solve for x
    x = 47,880,451.49/7,803.86
  6. Step 6: Final answer
    x = 6,135.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.