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Finding the Fourth Proportional to 10,562, 15,843.04 and 4,406

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Solution

The fourth proportional to 10,562, 15,843.04 and 4,406 is: 6,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,562 : 15,843.04 = 4,406 : x
  2. Step 2: Convert to fraction form
    10,562/15,843.04 = 4,406/x
  3. Step 3: Cross multiply
    10,562x = 15,843.04 × 4,406
  4. Step 4: Simplify right side
    10,562x = 69,804,434.24
  5. Step 5: Solve for x
    x = 69,804,434.24/10,562
  6. Step 6: Final answer
    x = 6,609.02

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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.