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Finding the Fourth Proportional to 7,706.37, 10,637.42 and 5,935.71

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Solution

The fourth proportional to 7,706.37, 10,637.42 and 5,935.71 is: 8,193.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.37 : 10,637.42 = 5,935.71 : x
  2. Step 2: Convert to fraction form
    7,706.37/10,637.42 = 5,935.71/x
  3. Step 3: Cross multiply
    7,706.37x = 10,637.42 × 5,935.71
  4. Step 4: Simplify right side
    7,706.37x = 63,140,610.59
  5. Step 5: Solve for x
    x = 63,140,610.59/7,706.37
  6. Step 6: Final answer
    x = 8,193.30

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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.