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Finding the Fourth Proportional to 7,805.52, 11,714.16 and 5,730.96

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Solution

The fourth proportional to 7,805.52, 11,714.16 and 5,730.96 is: 8,600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.52 : 11,714.16 = 5,730.96 : x
  2. Step 2: Convert to fraction form
    7,805.52/11,714.16 = 5,730.96/x
  3. Step 3: Cross multiply
    7,805.52x = 11,714.16 × 5,730.96
  4. Step 4: Simplify right side
    7,805.52x = 67,133,382.39
  5. Step 5: Solve for x
    x = 67,133,382.39/7,805.52
  6. Step 6: Final answer
    x = 8,600.76

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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.