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Finding the Fourth Proportional to 14,974.00, 20,664.13 and 8,259.63

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Solution

The fourth proportional to 14,974.00, 20,664.13 and 8,259.63 is: 11,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,974.00 : 20,664.13 = 8,259.63 : x
  2. Step 2: Convert to fraction form
    14,974.00/20,664.13 = 8,259.63/x
  3. Step 3: Cross multiply
    14,974.00x = 20,664.13 × 8,259.63
  4. Step 4: Simplify right side
    14,974.00x = 170,678,017.37
  5. Step 5: Solve for x
    x = 170,678,017.37/14,974.00
  6. Step 6: Final answer
    x = 11,398.29

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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.