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Finding the Fourth Proportional to 7,061, 9,744.50 and 3,917.08

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Solution

The fourth proportional to 7,061, 9,744.50 and 3,917.08 is: 5,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061 : 9,744.50 = 3,917.08 : x
  2. Step 2: Convert to fraction form
    7,061/9,744.50 = 3,917.08/x
  3. Step 3: Cross multiply
    7,061x = 9,744.50 × 3,917.08
  4. Step 4: Simplify right side
    7,061x = 38,169,986.06
  5. Step 5: Solve for x
    x = 38,169,986.06/7,061
  6. Step 6: Final answer
    x = 5,405.75

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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.