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Finding the Fourth Proportional to 14,262.76, 19,682.61 and 7,975.15

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Solution

The fourth proportional to 14,262.76, 19,682.61 and 7,975.15 is: 11,005.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,262.76 : 19,682.61 = 7,975.15 : x
  2. Step 2: Convert to fraction form
    14,262.76/19,682.61 = 7,975.15/x
  3. Step 3: Cross multiply
    14,262.76x = 19,682.61 × 7,975.15
  4. Step 4: Simplify right side
    14,262.76x = 156,971,767.14
  5. Step 5: Solve for x
    x = 156,971,767.14/14,262.76
  6. Step 6: Final answer
    x = 11,005.71

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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.