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Finding the Fourth Proportional to 4,736.48, 6,536.64 and 2,640.64

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Solution

The fourth proportional to 4,736.48, 6,536.64 and 2,640.64 is: 3,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736.48 : 6,536.64 = 2,640.64 : x
  2. Step 2: Convert to fraction form
    4,736.48/6,536.64 = 2,640.64/x
  3. Step 3: Cross multiply
    4,736.48x = 6,536.64 × 2,640.64
  4. Step 4: Simplify right side
    4,736.48x = 17,260,913.05
  5. Step 5: Solve for x
    x = 17,260,913.05/4,736.48
  6. Step 6: Final answer
    x = 3,644.25

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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.