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Finding the Fourth Proportional to 11,041.84, 15,231 and 7,892.56

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Solution

The fourth proportional to 11,041.84, 15,231 and 7,892.56 is: 10,886.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,041.84 : 15,231 = 7,892.56 : x
  2. Step 2: Convert to fraction form
    11,041.84/15,231 = 7,892.56/x
  3. Step 3: Cross multiply
    11,041.84x = 15,231 × 7,892.56
  4. Step 4: Simplify right side
    11,041.84x = 120,211,581.36
  5. Step 5: Solve for x
    x = 120,211,581.36/11,041.84
  6. Step 6: Final answer
    x = 10,886.92

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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.