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Finding the Fourth Proportional to 7,772.94, 11,623.95 and 5,799.96

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Solution

The fourth proportional to 7,772.94, 11,623.95 and 5,799.96 is: 8,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.94 : 11,623.95 = 5,799.96 : x
  2. Step 2: Convert to fraction form
    7,772.94/11,623.95 = 5,799.96/x
  3. Step 3: Cross multiply
    7,772.94x = 11,623.95 × 5,799.96
  4. Step 4: Simplify right side
    7,772.94x = 67,418,445.04
  5. Step 5: Solve for x
    x = 67,418,445.04/7,772.94
  6. Step 6: Final answer
    x = 8,673.48

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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.