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Finding the Fourth Proportional to 6,929.56, 9,561 and 4,410.64

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Solution

The fourth proportional to 6,929.56, 9,561 and 4,410.64 is: 6,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,929.56 : 9,561 = 4,410.64 : x
  2. Step 2: Convert to fraction form
    6,929.56/9,561 = 4,410.64/x
  3. Step 3: Cross multiply
    6,929.56x = 9,561 × 4,410.64
  4. Step 4: Simplify right side
    6,929.56x = 42,170,129.04
  5. Step 5: Solve for x
    x = 42,170,129.04/6,929.56
  6. Step 6: Final answer
    x = 6,085.54

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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.