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Finding the Fourth Proportional to 8,497.69, 11,722.72 and 5,514.46

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Solution

The fourth proportional to 8,497.69, 11,722.72 and 5,514.46 is: 7,607.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.69 : 11,722.72 = 5,514.46 : x
  2. Step 2: Convert to fraction form
    8,497.69/11,722.72 = 5,514.46/x
  3. Step 3: Cross multiply
    8,497.69x = 11,722.72 × 5,514.46
  4. Step 4: Simplify right side
    8,497.69x = 64,644,470.53
  5. Step 5: Solve for x
    x = 64,644,470.53/8,497.69
  6. Step 6: Final answer
    x = 7,607.30

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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.