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Finding the Fourth Proportional to 4,976.64, 7,490.88 and 4,224.96

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Solution

The fourth proportional to 4,976.64, 7,490.88 and 4,224.96 is: 6,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.64 : 7,490.88 = 4,224.96 : x
  2. Step 2: Convert to fraction form
    4,976.64/7,490.88 = 4,224.96/x
  3. Step 3: Cross multiply
    4,976.64x = 7,490.88 × 4,224.96
  4. Step 4: Simplify right side
    4,976.64x = 31,648,668.36
  5. Step 5: Solve for x
    x = 31,648,668.36/4,976.64
  6. Step 6: Final answer
    x = 6,359.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.