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Finding the Fourth Proportional to 9,777.43, 13,494.63 and 6,414.31

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Solution

The fourth proportional to 9,777.43, 13,494.63 and 6,414.31 is: 8,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.43 : 13,494.63 = 6,414.31 : x
  2. Step 2: Convert to fraction form
    9,777.43/13,494.63 = 6,414.31/x
  3. Step 3: Cross multiply
    9,777.43x = 13,494.63 × 6,414.31
  4. Step 4: Simplify right side
    9,777.43x = 86,558,740.16
  5. Step 5: Solve for x
    x = 86,558,740.16/9,777.43
  6. Step 6: Final answer
    x = 8,852.91

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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.