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Finding the Fourth Proportional to 10,437.71, 14,407.07 and 5,963.94

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Solution

The fourth proportional to 10,437.71, 14,407.07 and 5,963.94 is: 8,231.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.71 : 14,407.07 = 5,963.94 : x
  2. Step 2: Convert to fraction form
    10,437.71/14,407.07 = 5,963.94/x
  3. Step 3: Cross multiply
    10,437.71x = 14,407.07 × 5,963.94
  4. Step 4: Simplify right side
    10,437.71x = 85,922,871.24
  5. Step 5: Solve for x
    x = 85,922,871.24/10,437.71
  6. Step 6: Final answer
    x = 8,231.97

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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.