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Finding the Fourth Proportional to 10,937.76, 15,094.02 and 5,969.76

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Solution

The fourth proportional to 10,937.76, 15,094.02 and 5,969.76 is: 8,238.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,937.76 : 15,094.02 = 5,969.76 : x
  2. Step 2: Convert to fraction form
    10,937.76/15,094.02 = 5,969.76/x
  3. Step 3: Cross multiply
    10,937.76x = 15,094.02 × 5,969.76
  4. Step 4: Simplify right side
    10,937.76x = 90,107,676.84
  5. Step 5: Solve for x
    x = 90,107,676.84/10,937.76
  6. Step 6: Final answer
    x = 8,238.22

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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.