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Finding the Fourth Proportional to 9,491.48, 14,238.06 and 2,471.48

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Solution

The fourth proportional to 9,491.48, 14,238.06 and 2,471.48 is: 3,707.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.48 : 14,238.06 = 2,471.48 : x
  2. Step 2: Convert to fraction form
    9,491.48/14,238.06 = 2,471.48/x
  3. Step 3: Cross multiply
    9,491.48x = 14,238.06 × 2,471.48
  4. Step 4: Simplify right side
    9,491.48x = 35,189,080.53
  5. Step 5: Solve for x
    x = 35,189,080.53/9,491.48
  6. Step 6: Final answer
    x = 3,707.44

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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.