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Finding the Fourth Proportional to 10,922.33, 15,076.02 and 9,446.09

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Solution

The fourth proportional to 10,922.33, 15,076.02 and 9,446.09 is: 13,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,922.33 : 15,076.02 = 9,446.09 : x
  2. Step 2: Convert to fraction form
    10,922.33/15,076.02 = 9,446.09/x
  3. Step 3: Cross multiply
    10,922.33x = 15,076.02 × 9,446.09
  4. Step 4: Simplify right side
    10,922.33x = 142,409,441.76
  5. Step 5: Solve for x
    x = 142,409,441.76/10,922.33
  6. Step 6: Final answer
    x = 13,038.38

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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.