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Finding the Fourth Proportional to 7,824.77, 11,719.93 and 7,393.44

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Solution

The fourth proportional to 7,824.77, 11,719.93 and 7,393.44 is: 11,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.77 : 11,719.93 = 7,393.44 : x
  2. Step 2: Convert to fraction form
    7,824.77/11,719.93 = 7,393.44/x
  3. Step 3: Cross multiply
    7,824.77x = 11,719.93 × 7,393.44
  4. Step 4: Simplify right side
    7,824.77x = 86,650,599.26
  5. Step 5: Solve for x
    x = 86,650,599.26/7,824.77
  6. Step 6: Final answer
    x = 11,073.88

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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.