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Finding the Fourth Proportional to 6,202, 9,303 and 1,585.04

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Solution

The fourth proportional to 6,202, 9,303 and 1,585.04 is: 2,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202 : 9,303 = 1,585.04 : x
  2. Step 2: Convert to fraction form
    6,202/9,303 = 1,585.04/x
  3. Step 3: Cross multiply
    6,202x = 9,303 × 1,585.04
  4. Step 4: Simplify right side
    6,202x = 14,745,627.12
  5. Step 5: Solve for x
    x = 14,745,627.12/6,202
  6. Step 6: Final answer
    x = 2,377.56

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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.