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Finding the Fourth Proportional to 10,494.24, 15,728.08 and 4,935.48

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Solution

The fourth proportional to 10,494.24, 15,728.08 and 4,935.48 is: 7,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.24 : 15,728.08 = 4,935.48 : x
  2. Step 2: Convert to fraction form
    10,494.24/15,728.08 = 4,935.48/x
  3. Step 3: Cross multiply
    10,494.24x = 15,728.08 × 4,935.48
  4. Step 4: Simplify right side
    10,494.24x = 77,625,624.28
  5. Step 5: Solve for x
    x = 77,625,624.28/10,494.24
  6. Step 6: Final answer
    x = 7,396.97

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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.