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Finding the Fourth Proportional to 6,645.88, 9,964.14 and 2,946.10

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Solution

The fourth proportional to 6,645.88, 9,964.14 and 2,946.10 is: 4,417.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,645.88 : 9,964.14 = 2,946.10 : x
  2. Step 2: Convert to fraction form
    6,645.88/9,964.14 = 2,946.10/x
  3. Step 3: Cross multiply
    6,645.88x = 9,964.14 × 2,946.10
  4. Step 4: Simplify right side
    6,645.88x = 29,355,352.85
  5. Step 5: Solve for x
    x = 29,355,352.85/6,645.88
  6. Step 6: Final answer
    x = 4,417.08

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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.