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Finding the Fourth Proportional to 6,525.04, 9,788.04 and 1,908

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Solution

The fourth proportional to 6,525.04, 9,788.04 and 1,908 is: 2,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.04 : 9,788.04 = 1,908 : x
  2. Step 2: Convert to fraction form
    6,525.04/9,788.04 = 1,908/x
  3. Step 3: Cross multiply
    6,525.04x = 9,788.04 × 1,908
  4. Step 4: Simplify right side
    6,525.04x = 18,675,580.32
  5. Step 5: Solve for x
    x = 18,675,580.32/6,525.04
  6. Step 6: Final answer
    x = 2,862.14

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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.