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Finding the Fourth Proportional to 9,803.70, 14,707.07 and 3,227.82

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Solution

The fourth proportional to 9,803.70, 14,707.07 and 3,227.82 is: 4,842.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.70 : 14,707.07 = 3,227.82 : x
  2. Step 2: Convert to fraction form
    9,803.70/14,707.07 = 3,227.82/x
  3. Step 3: Cross multiply
    9,803.70x = 14,707.07 × 3,227.82
  4. Step 4: Simplify right side
    9,803.70x = 47,471,715.50
  5. Step 5: Solve for x
    x = 47,471,715.50/9,803.70
  6. Step 6: Final answer
    x = 4,842.22

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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.