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Finding the Fourth Proportional to 10,705.70, 14,777.02 and 6,231.44

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Solution

The fourth proportional to 10,705.70, 14,777.02 and 6,231.44 is: 8,601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,705.70 : 14,777.02 = 6,231.44 : x
  2. Step 2: Convert to fraction form
    10,705.70/14,777.02 = 6,231.44/x
  3. Step 3: Cross multiply
    10,705.70x = 14,777.02 × 6,231.44
  4. Step 4: Simplify right side
    10,705.70x = 92,082,113.51
  5. Step 5: Solve for x
    x = 92,082,113.51/10,705.70
  6. Step 6: Final answer
    x = 8,601.22

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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.