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Finding the Fourth Proportional to 14,998.34, 20,695.94 and 8,283.57

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Solution

The fourth proportional to 14,998.34, 20,695.94 and 8,283.57 is: 11,430.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,998.34 : 20,695.94 = 8,283.57 : x
  2. Step 2: Convert to fraction form
    14,998.34/20,695.94 = 8,283.57/x
  3. Step 3: Cross multiply
    14,998.34x = 20,695.94 × 8,283.57
  4. Step 4: Simplify right side
    14,998.34x = 171,436,179.74
  5. Step 5: Solve for x
    x = 171,436,179.74/14,998.34
  6. Step 6: Final answer
    x = 11,430.34

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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.