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Finding the Fourth Proportional to 10,677, 16,017.66 and 4,521

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Solution

The fourth proportional to 10,677, 16,017.66 and 4,521 is: 6,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677 : 16,017.66 = 4,521 : x
  2. Step 2: Convert to fraction form
    10,677/16,017.66 = 4,521/x
  3. Step 3: Cross multiply
    10,677x = 16,017.66 × 4,521
  4. Step 4: Simplify right side
    10,677x = 72,415,840.86
  5. Step 5: Solve for x
    x = 72,415,840.86/10,677
  6. Step 6: Final answer
    x = 6,782.41

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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.