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Finding the Fourth Proportional to 7,714.72, 11,573.24 and 3,332.24

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Solution

The fourth proportional to 7,714.72, 11,573.24 and 3,332.24 is: 4,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.72 : 11,573.24 = 3,332.24 : x
  2. Step 2: Convert to fraction form
    7,714.72/11,573.24 = 3,332.24/x
  3. Step 3: Cross multiply
    7,714.72x = 11,573.24 × 3,332.24
  4. Step 4: Simplify right side
    7,714.72x = 38,564,813.26
  5. Step 5: Solve for x
    x = 38,564,813.26/7,714.72
  6. Step 6: Final answer
    x = 4,998.86

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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.