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Finding the Fourth Proportional to 7,743.60, 11,597.04 and 5,892.48

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Solution

The fourth proportional to 7,743.60, 11,597.04 and 5,892.48 is: 8,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.60 : 11,597.04 = 5,892.48 : x
  2. Step 2: Convert to fraction form
    7,743.60/11,597.04 = 5,892.48/x
  3. Step 3: Cross multiply
    7,743.60x = 11,597.04 × 5,892.48
  4. Step 4: Simplify right side
    7,743.60x = 68,335,326.26
  5. Step 5: Solve for x
    x = 68,335,326.26/7,743.60
  6. Step 6: Final answer
    x = 8,824.75

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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.