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Finding the Fourth Proportional to 7,106.69, 10,660.17 and 2,427.77

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Solution

The fourth proportional to 7,106.69, 10,660.17 and 2,427.77 is: 3,641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.69 : 10,660.17 = 2,427.77 : x
  2. Step 2: Convert to fraction form
    7,106.69/10,660.17 = 2,427.77/x
  3. Step 3: Cross multiply
    7,106.69x = 10,660.17 × 2,427.77
  4. Step 4: Simplify right side
    7,106.69x = 25,880,440.92
  5. Step 5: Solve for x
    x = 25,880,440.92/7,106.69
  6. Step 6: Final answer
    x = 3,641.70

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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.