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Finding the Fourth Proportional to 10,896.64, 16,349.76 and 3,972.16

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Solution

The fourth proportional to 10,896.64, 16,349.76 and 3,972.16 is: 5,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.64 : 16,349.76 = 3,972.16 : x
  2. Step 2: Convert to fraction form
    10,896.64/16,349.76 = 3,972.16/x
  3. Step 3: Cross multiply
    10,896.64x = 16,349.76 × 3,972.16
  4. Step 4: Simplify right side
    10,896.64x = 64,943,862.68
  5. Step 5: Solve for x
    x = 64,943,862.68/10,896.64
  6. Step 6: Final answer
    x = 5,959.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.