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Finding the Fourth Proportional to 7,803.41, 10,768.74 and 4,266.62

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Solution

The fourth proportional to 7,803.41, 10,768.74 and 4,266.62 is: 5,887.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.41 : 10,768.74 = 4,266.62 : x
  2. Step 2: Convert to fraction form
    7,803.41/10,768.74 = 4,266.62/x
  3. Step 3: Cross multiply
    7,803.41x = 10,768.74 × 4,266.62
  4. Step 4: Simplify right side
    7,803.41x = 45,946,164.38
  5. Step 5: Solve for x
    x = 45,946,164.38/7,803.41
  6. Step 6: Final answer
    x = 5,887.96

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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.