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Finding the Fourth Proportional to 10,612.77, 14,644.97 and 5,896.89

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Solution

The fourth proportional to 10,612.77, 14,644.97 and 5,896.89 is: 8,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,612.77 : 14,644.97 = 5,896.89 : x
  2. Step 2: Convert to fraction form
    10,612.77/14,644.97 = 5,896.89/x
  3. Step 3: Cross multiply
    10,612.77x = 14,644.97 × 5,896.89
  4. Step 4: Simplify right side
    10,612.77x = 86,359,777.14
  5. Step 5: Solve for x
    x = 86,359,777.14/10,612.77
  6. Step 6: Final answer
    x = 8,137.35

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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.