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Finding the Fourth Proportional to 7,803.71, 10,769.12 and 4,266.92

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Solution

The fourth proportional to 7,803.71, 10,769.12 and 4,266.92 is: 5,888.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.71 : 10,769.12 = 4,266.92 : x
  2. Step 2: Convert to fraction form
    7,803.71/10,769.12 = 4,266.92/x
  3. Step 3: Cross multiply
    7,803.71x = 10,769.12 × 4,266.92
  4. Step 4: Simplify right side
    7,803.71x = 45,950,898.33
  5. Step 5: Solve for x
    x = 45,950,898.33/7,803.71
  6. Step 6: Final answer
    x = 5,888.34

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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.