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Finding the Fourth Proportional to 14,677, 22,016.30 and 5,910.77

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Solution

The fourth proportional to 14,677, 22,016.30 and 5,910.77 is: 8,866.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677 : 22,016.30 = 5,910.77 : x
  2. Step 2: Convert to fraction form
    14,677/22,016.30 = 5,910.77/x
  3. Step 3: Cross multiply
    14,677x = 22,016.30 × 5,910.77
  4. Step 4: Simplify right side
    14,677x = 130,133,285.55
  5. Step 5: Solve for x
    x = 130,133,285.55/14,677
  6. Step 6: Final answer
    x = 8,866.48

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1.5x scale

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.