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Finding the Fourth Proportional to 22,709, 34,048.74 and 10,856.36

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Solution

The fourth proportional to 22,709, 34,048.74 and 10,856.36 is: 16,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709 : 34,048.74 = 10,856.36 : x
  2. Step 2: Convert to fraction form
    22,709/34,048.74 = 10,856.36/x
  3. Step 3: Cross multiply
    22,709x = 34,048.74 × 10,856.36
  4. Step 4: Simplify right side
    22,709x = 369,645,378.99
  5. Step 5: Solve for x
    x = 369,645,378.99/22,709
  6. Step 6: Final answer
    x = 16,277.48

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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.