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Finding the Fourth Proportional to 14,437, 19,923.06 and 8,149.24

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Solution

The fourth proportional to 14,437, 19,923.06 and 8,149.24 is: 11,245.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,437 : 19,923.06 = 8,149.24 : x
  2. Step 2: Convert to fraction form
    14,437/19,923.06 = 8,149.24/x
  3. Step 3: Cross multiply
    14,437x = 19,923.06 × 8,149.24
  4. Step 4: Simplify right side
    14,437x = 162,357,797.47
  5. Step 5: Solve for x
    x = 162,357,797.47/14,437
  6. Step 6: Final answer
    x = 11,245.95

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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.