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Finding the Fourth Proportional to 6,199, 9,298.52 and 2,095

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Solution

The fourth proportional to 6,199, 9,298.52 and 2,095 is: 3,142.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199 : 9,298.52 = 2,095 : x
  2. Step 2: Convert to fraction form
    6,199/9,298.52 = 2,095/x
  3. Step 3: Cross multiply
    6,199x = 9,298.52 × 2,095
  4. Step 4: Simplify right side
    6,199x = 19,480,399.40
  5. Step 5: Solve for x
    x = 19,480,399.40/6,199
  6. Step 6: Final answer
    x = 3,142.51

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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.