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Finding the Fourth Proportional to 11,798.56, 16,282.00 and 6,493.71

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Solution

The fourth proportional to 11,798.56, 16,282.00 and 6,493.71 is: 8,961.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.56 : 16,282.00 = 6,493.71 : x
  2. Step 2: Convert to fraction form
    11,798.56/16,282.00 = 6,493.71/x
  3. Step 3: Cross multiply
    11,798.56x = 16,282.00 × 6,493.71
  4. Step 4: Simplify right side
    11,798.56x = 105,730,618.87
  5. Step 5: Solve for x
    x = 105,730,618.87/11,798.56
  6. Step 6: Final answer
    x = 8,961.32

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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.