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Finding the Fourth Proportional to 10,843.56, 14,963.22 and 6,129

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Solution

The fourth proportional to 10,843.56, 14,963.22 and 6,129 is: 8,457.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,843.56 : 14,963.22 = 6,129 : x
  2. Step 2: Convert to fraction form
    10,843.56/14,963.22 = 6,129/x
  3. Step 3: Cross multiply
    10,843.56x = 14,963.22 × 6,129
  4. Step 4: Simplify right side
    10,843.56x = 91,709,575.38
  5. Step 5: Solve for x
    x = 91,709,575.38/10,843.56
  6. Step 6: Final answer
    x = 8,457.52

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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.