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Finding the Fourth Proportional to 6,592.72, 9,891.32 and 1,976.40

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Solution

The fourth proportional to 6,592.72, 9,891.32 and 1,976.40 is: 2,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.72 : 9,891.32 = 1,976.40 : x
  2. Step 2: Convert to fraction form
    6,592.72/9,891.32 = 1,976.40/x
  3. Step 3: Cross multiply
    6,592.72x = 9,891.32 × 1,976.40
  4. Step 4: Simplify right side
    6,592.72x = 19,549,204.85
  5. Step 5: Solve for x
    x = 19,549,204.85/6,592.72
  6. Step 6: Final answer
    x = 2,965.27

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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.