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Finding the Fourth Proportional to 11,653.01, 16,081.17 and 6,347.82

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Solution

The fourth proportional to 11,653.01, 16,081.17 and 6,347.82 is: 8,760.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,653.01 : 16,081.17 = 6,347.82 : x
  2. Step 2: Convert to fraction form
    11,653.01/16,081.17 = 6,347.82/x
  3. Step 3: Cross multiply
    11,653.01x = 16,081.17 × 6,347.82
  4. Step 4: Simplify right side
    11,653.01x = 102,080,340.81
  5. Step 5: Solve for x
    x = 102,080,340.81/11,653.01
  6. Step 6: Final answer
    x = 8,760.00

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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.