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Finding the Fourth Proportional to 10,181.93, 14,051.93 and 5,705.62

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Solution

The fourth proportional to 10,181.93, 14,051.93 and 5,705.62 is: 7,874.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,181.93 : 14,051.93 = 5,705.62 : x
  2. Step 2: Convert to fraction form
    10,181.93/14,051.93 = 5,705.62/x
  3. Step 3: Cross multiply
    10,181.93x = 14,051.93 × 5,705.62
  4. Step 4: Simplify right side
    10,181.93x = 80,174,972.85
  5. Step 5: Solve for x
    x = 80,174,972.85/10,181.93
  6. Step 6: Final answer
    x = 7,874.24

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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.