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Finding the Fourth Proportional to 14,099.70, 19,437.84 and 9,844.68

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Solution

The fourth proportional to 14,099.70, 19,437.84 and 9,844.68 is: 13,571.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,099.70 : 19,437.84 = 9,844.68 : x
  2. Step 2: Convert to fraction form
    14,099.70/19,437.84 = 9,844.68/x
  3. Step 3: Cross multiply
    14,099.70x = 19,437.84 × 9,844.68
  4. Step 4: Simplify right side
    14,099.70x = 191,359,314.69
  5. Step 5: Solve for x
    x = 191,359,314.69/14,099.70
  6. Step 6: Final answer
    x = 13,571.87

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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.