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Finding the Fourth Proportional to 9,917.66, 14,860.68 and 5,237.48

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Solution

The fourth proportional to 9,917.66, 14,860.68 and 5,237.48 is: 7,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.66 : 14,860.68 = 5,237.48 : x
  2. Step 2: Convert to fraction form
    9,917.66/14,860.68 = 5,237.48/x
  3. Step 3: Cross multiply
    9,917.66x = 14,860.68 × 5,237.48
  4. Step 4: Simplify right side
    9,917.66x = 77,832,514.29
  5. Step 5: Solve for x
    x = 77,832,514.29/9,917.66
  6. Step 6: Final answer
    x = 7,847.87

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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.