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Finding the Fourth Proportional to 7,796.42, 10,759.11 and 4,259.72

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Solution

The fourth proportional to 7,796.42, 10,759.11 and 4,259.72 is: 5,878.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.42 : 10,759.11 = 4,259.72 : x
  2. Step 2: Convert to fraction form
    7,796.42/10,759.11 = 4,259.72/x
  3. Step 3: Cross multiply
    7,796.42x = 10,759.11 × 4,259.72
  4. Step 4: Simplify right side
    7,796.42x = 45,830,742.25
  5. Step 5: Solve for x
    x = 45,830,742.25/7,796.42
  6. Step 6: Final answer
    x = 5,878.44

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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.