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Finding the Fourth Proportional to 5,096.88, 7,646.88 and 2,464.48

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Solution

The fourth proportional to 5,096.88, 7,646.88 and 2,464.48 is: 3,697.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,096.88 : 7,646.88 = 2,464.48 : x
  2. Step 2: Convert to fraction form
    5,096.88/7,646.88 = 2,464.48/x
  3. Step 3: Cross multiply
    5,096.88x = 7,646.88 × 2,464.48
  4. Step 4: Simplify right side
    5,096.88x = 18,845,582.82
  5. Step 5: Solve for x
    x = 18,845,582.82/5,096.88
  6. Step 6: Final answer
    x = 3,697.47

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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.