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Finding the Fourth Proportional to 6,709.84, 9,260.64 and 6,414.56

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Solution

The fourth proportional to 6,709.84, 9,260.64 and 6,414.56 is: 8,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.84 : 9,260.64 = 6,414.56 : x
  2. Step 2: Convert to fraction form
    6,709.84/9,260.64 = 6,414.56/x
  3. Step 3: Cross multiply
    6,709.84x = 9,260.64 × 6,414.56
  4. Step 4: Simplify right side
    6,709.84x = 59,402,930.92
  5. Step 5: Solve for x
    x = 59,402,930.92/6,709.84
  6. Step 6: Final answer
    x = 8,853.11

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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.