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Finding the Fourth Proportional to 10,922.64, 15,057.97 and 9,237.27

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Solution

The fourth proportional to 10,922.64, 15,057.97 and 9,237.27 is: 12,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.64 : 15,057.97 = 9,237.27 : x
  2. Step 2: Convert to fraction form
    10,922.64/15,057.97 = 9,237.27/x
  3. Step 3: Cross multiply
    10,922.64x = 15,057.97 × 9,237.27
  4. Step 4: Simplify right side
    10,922.64x = 139,094,534.54
  5. Step 5: Solve for x
    x = 139,094,534.54/10,922.64
  6. Step 6: Final answer
    x = 12,734.52

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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.