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Finding the Fourth Proportional to 6,641.50, 9,955.56 and 4,178.08

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Solution

The fourth proportional to 6,641.50, 9,955.56 and 4,178.08 is: 6,262.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.50 : 9,955.56 = 4,178.08 : x
  2. Step 2: Convert to fraction form
    6,641.50/9,955.56 = 4,178.08/x
  3. Step 3: Cross multiply
    6,641.50x = 9,955.56 × 4,178.08
  4. Step 4: Simplify right side
    6,641.50x = 41,595,126.12
  5. Step 5: Solve for x
    x = 41,595,126.12/6,641.50
  6. Step 6: Final answer
    x = 6,262.91

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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.