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Finding the Fourth Proportional to 7,803.04, 10,768.22 and 4,266.31

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Solution

The fourth proportional to 7,803.04, 10,768.22 and 4,266.31 is: 5,887.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.04 : 10,768.22 = 4,266.31 : x
  2. Step 2: Convert to fraction form
    7,803.04/10,768.22 = 4,266.31/x
  3. Step 3: Cross multiply
    7,803.04x = 10,768.22 × 4,266.31
  4. Step 4: Simplify right side
    7,803.04x = 45,940,548.41
  5. Step 5: Solve for x
    x = 45,940,548.41/7,803.04
  6. Step 6: Final answer
    x = 5,887.52

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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.