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Finding the Fourth Proportional to 11,642.96, 16,065.48 and 6,674

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Solution

The fourth proportional to 11,642.96, 16,065.48 and 6,674 is: 9,209.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.96 : 16,065.48 = 6,674 : x
  2. Step 2: Convert to fraction form
    11,642.96/16,065.48 = 6,674/x
  3. Step 3: Cross multiply
    11,642.96x = 16,065.48 × 6,674
  4. Step 4: Simplify right side
    11,642.96x = 107,221,013.52
  5. Step 5: Solve for x
    x = 107,221,013.52/11,642.96
  6. Step 6: Final answer
    x = 9,209.09

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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.