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Finding the Fourth Proportional to 10,714.65, 14,791.77 and 6,682.74

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Solution

The fourth proportional to 10,714.65, 14,791.77 and 6,682.74 is: 9,225.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.65 : 14,791.77 = 6,682.74 : x
  2. Step 2: Convert to fraction form
    10,714.65/14,791.77 = 6,682.74/x
  3. Step 3: Cross multiply
    10,714.65x = 14,791.77 × 6,682.74
  4. Step 4: Simplify right side
    10,714.65x = 98,849,553.05
  5. Step 5: Solve for x
    x = 98,849,553.05/10,714.65
  6. Step 6: Final answer
    x = 9,225.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.