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Finding the Fourth Proportional to 10,713.66, 14,783.09 and 6,731.95

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Solution

The fourth proportional to 10,713.66, 14,783.09 and 6,731.95 is: 9,288.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.66 : 14,783.09 = 6,731.95 : x
  2. Step 2: Convert to fraction form
    10,713.66/14,783.09 = 6,731.95/x
  3. Step 3: Cross multiply
    10,713.66x = 14,783.09 × 6,731.95
  4. Step 4: Simplify right side
    10,713.66x = 99,519,022.73
  5. Step 5: Solve for x
    x = 99,519,022.73/10,713.66
  6. Step 6: Final answer
    x = 9,288.98

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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.