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Finding the Fourth Proportional to 9,398.99, 14,098.83 and 3,159.22

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Solution

The fourth proportional to 9,398.99, 14,098.83 and 3,159.22 is: 4,738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.99 : 14,098.83 = 3,159.22 : x
  2. Step 2: Convert to fraction form
    9,398.99/14,098.83 = 3,159.22/x
  3. Step 3: Cross multiply
    9,398.99x = 14,098.83 × 3,159.22
  4. Step 4: Simplify right side
    9,398.99x = 44,541,235.22
  5. Step 5: Solve for x
    x = 44,541,235.22/9,398.99
  6. Step 6: Final answer
    x = 4,738.94

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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.