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Finding the Fourth Proportional to 14,686.97, 20,263.01 and 9,384.84

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Solution

The fourth proportional to 14,686.97, 20,263.01 and 9,384.84 is: 12,947.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.97 : 20,263.01 = 9,384.84 : x
  2. Step 2: Convert to fraction form
    14,686.97/20,263.01 = 9,384.84/x
  3. Step 3: Cross multiply
    14,686.97x = 20,263.01 × 9,384.84
  4. Step 4: Simplify right side
    14,686.97x = 190,165,059.84
  5. Step 5: Solve for x
    x = 190,165,059.84/14,686.97
  6. Step 6: Final answer
    x = 12,947.88

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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.