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Finding the Fourth Proportional to 10,959.66, 16,437.94 and 3,564.23

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Solution

The fourth proportional to 10,959.66, 16,437.94 and 3,564.23 is: 5,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.66 : 16,437.94 = 3,564.23 : x
  2. Step 2: Convert to fraction form
    10,959.66/16,437.94 = 3,564.23/x
  3. Step 3: Cross multiply
    10,959.66x = 16,437.94 × 3,564.23
  4. Step 4: Simplify right side
    10,959.66x = 58,588,507.79
  5. Step 5: Solve for x
    x = 58,588,507.79/10,959.66
  6. Step 6: Final answer
    x = 5,345.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.