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Finding the Fourth Proportional to 11,705.48, 16,155.06 and 6,737.48

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Solution

The fourth proportional to 11,705.48, 16,155.06 and 6,737.48 is: 9,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.48 : 16,155.06 = 6,737.48 : x
  2. Step 2: Convert to fraction form
    11,705.48/16,155.06 = 6,737.48/x
  3. Step 3: Cross multiply
    11,705.48x = 16,155.06 × 6,737.48
  4. Step 4: Simplify right side
    11,705.48x = 108,844,393.65
  5. Step 5: Solve for x
    x = 108,844,393.65/11,705.48
  6. Step 6: Final answer
    x = 9,298.58

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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.