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Finding the Fourth Proportional to 10,896.88, 15,040.38 and 6,184

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Solution

The fourth proportional to 10,896.88, 15,040.38 and 6,184 is: 8,535.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.88 : 15,040.38 = 6,184 : x
  2. Step 2: Convert to fraction form
    10,896.88/15,040.38 = 6,184/x
  3. Step 3: Cross multiply
    10,896.88x = 15,040.38 × 6,184
  4. Step 4: Simplify right side
    10,896.88x = 93,009,709.92
  5. Step 5: Solve for x
    x = 93,009,709.92/10,896.88
  6. Step 6: Final answer
    x = 8,535.44

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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.