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Finding the Fourth Proportional to 6,974.63, 10,461.96 and 1,709.66

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Solution

The fourth proportional to 6,974.63, 10,461.96 and 1,709.66 is: 2,564.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,974.63 : 10,461.96 = 1,709.66 : x
  2. Step 2: Convert to fraction form
    6,974.63/10,461.96 = 1,709.66/x
  3. Step 3: Cross multiply
    6,974.63x = 10,461.96 × 1,709.66
  4. Step 4: Simplify right side
    6,974.63x = 17,886,436.97
  5. Step 5: Solve for x
    x = 17,886,436.97/6,974.63
  6. Step 6: Final answer
    x = 2,564.50

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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.