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Finding the Fourth Proportional to 10,651.84, 15,977.35 and 4,410.25

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Solution

The fourth proportional to 10,651.84, 15,977.35 and 4,410.25 is: 6,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,651.84 : 15,977.35 = 4,410.25 : x
  2. Step 2: Convert to fraction form
    10,651.84/15,977.35 = 4,410.25/x
  3. Step 3: Cross multiply
    10,651.84x = 15,977.35 × 4,410.25
  4. Step 4: Simplify right side
    10,651.84x = 70,464,107.84
  5. Step 5: Solve for x
    x = 70,464,107.84/10,651.84
  6. Step 6: Final answer
    x = 6,615.21

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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.