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Finding the Fourth Proportional to 7,460.64, 10,297.83 and 4,976.64

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Solution

The fourth proportional to 7,460.64, 10,297.83 and 4,976.64 is: 6,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.64 : 10,297.83 = 4,976.64 : x
  2. Step 2: Convert to fraction form
    7,460.64/10,297.83 = 4,976.64/x
  3. Step 3: Cross multiply
    7,460.64x = 10,297.83 × 4,976.64
  4. Step 4: Simplify right side
    7,460.64x = 51,248,592.69
  5. Step 5: Solve for x
    x = 51,248,592.69/7,460.64
  6. Step 6: Final answer
    x = 6,869.20

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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.