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Finding the Fourth Proportional to 4,921.09, 7,343.53 and 4,761.32

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Solution

The fourth proportional to 4,921.09, 7,343.53 and 4,761.32 is: 7,105.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,921.09 : 7,343.53 = 4,761.32 : x
  2. Step 2: Convert to fraction form
    4,921.09/7,343.53 = 4,761.32/x
  3. Step 3: Cross multiply
    4,921.09x = 7,343.53 × 4,761.32
  4. Step 4: Simplify right side
    4,921.09x = 34,964,847.64
  5. Step 5: Solve for x
    x = 34,964,847.64/4,921.09
  6. Step 6: Final answer
    x = 7,105.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.