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Finding the Fourth Proportional to 10,896.84, 15,039 and 6,182.64

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Solution

The fourth proportional to 10,896.84, 15,039 and 6,182.64 is: 8,532.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.84 : 15,039 = 6,182.64 : x
  2. Step 2: Convert to fraction form
    10,896.84/15,039 = 6,182.64/x
  3. Step 3: Cross multiply
    10,896.84x = 15,039 × 6,182.64
  4. Step 4: Simplify right side
    10,896.84x = 92,980,722.96
  5. Step 5: Solve for x
    x = 92,980,722.96/10,896.84
  6. Step 6: Final answer
    x = 8,532.82

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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.