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Finding the Fourth Proportional to 8,202, 12,303.24 and 2,046

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Solution

The fourth proportional to 8,202, 12,303.24 and 2,046 is: 3,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202 : 12,303.24 = 2,046 : x
  2. Step 2: Convert to fraction form
    8,202/12,303.24 = 2,046/x
  3. Step 3: Cross multiply
    8,202x = 12,303.24 × 2,046
  4. Step 4: Simplify right side
    8,202x = 25,172,429.04
  5. Step 5: Solve for x
    x = 25,172,429.04/8,202
  6. Step 6: Final answer
    x = 3,069.06

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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.