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Finding the Fourth Proportional to 6,617.94, 9,924.75 and 2,920.02

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Solution

The fourth proportional to 6,617.94, 9,924.75 and 2,920.02 is: 4,379.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.94 : 9,924.75 = 2,920.02 : x
  2. Step 2: Convert to fraction form
    6,617.94/9,924.75 = 2,920.02/x
  3. Step 3: Cross multiply
    6,617.94x = 9,924.75 × 2,920.02
  4. Step 4: Simplify right side
    6,617.94x = 28,980,468.50
  5. Step 5: Solve for x
    x = 28,980,468.50/6,617.94
  6. Step 6: Final answer
    x = 4,379.08

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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.