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Finding the Fourth Proportional to 6,455.28, 8,896.16 and 4,462.28

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Solution

The fourth proportional to 6,455.28, 8,896.16 and 4,462.28 is: 6,149.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.28 : 8,896.16 = 4,462.28 : x
  2. Step 2: Convert to fraction form
    6,455.28/8,896.16 = 4,462.28/x
  3. Step 3: Cross multiply
    6,455.28x = 8,896.16 × 4,462.28
  4. Step 4: Simplify right side
    6,455.28x = 39,697,156.84
  5. Step 5: Solve for x
    x = 39,697,156.84/6,455.28
  6. Step 6: Final answer
    x = 6,149.56

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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.