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Finding the Fourth Proportional to 11,703, 16,150.14 and 6,737.88

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Solution

The fourth proportional to 11,703, 16,150.14 and 6,737.88 is: 9,298.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,703 : 16,150.14 = 6,737.88 : x
  2. Step 2: Convert to fraction form
    11,703/16,150.14 = 6,737.88/x
  3. Step 3: Cross multiply
    11,703x = 16,150.14 × 6,737.88
  4. Step 4: Simplify right side
    11,703x = 108,817,705.30
  5. Step 5: Solve for x
    x = 108,817,705.30/11,703
  6. Step 6: Final answer
    x = 9,298.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.