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Finding the Fourth Proportional to 10,633.27, 15,857 and 9,323.08

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Solution

The fourth proportional to 10,633.27, 15,857 and 9,323.08 is: 13,903.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,633.27 : 15,857 = 9,323.08 : x
  2. Step 2: Convert to fraction form
    10,633.27/15,857 = 9,323.08/x
  3. Step 3: Cross multiply
    10,633.27x = 15,857 × 9,323.08
  4. Step 4: Simplify right side
    10,633.27x = 147,836,079.56
  5. Step 5: Solve for x
    x = 147,836,079.56/10,633.27
  6. Step 6: Final answer
    x = 13,903.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.