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Finding the Fourth Proportional to 16,065.76, 24,089.74 and 4,969.48

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Solution

The fourth proportional to 16,065.76, 24,089.74 and 4,969.48 is: 7,451.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,065.76 : 24,089.74 = 4,969.48 : x
  2. Step 2: Convert to fraction form
    16,065.76/24,089.74 = 4,969.48/x
  3. Step 3: Cross multiply
    16,065.76x = 24,089.74 × 4,969.48
  4. Step 4: Simplify right side
    16,065.76x = 119,713,481.14
  5. Step 5: Solve for x
    x = 119,713,481.14/16,065.76
  6. Step 6: Final answer
    x = 7,451.47

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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.