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Finding the Fourth Proportional to 6,886.70, 9,488.99 and 4,644.67

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Solution

The fourth proportional to 6,886.70, 9,488.99 and 4,644.67 is: 6,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,886.70 : 9,488.99 = 4,644.67 : x
  2. Step 2: Convert to fraction form
    6,886.70/9,488.99 = 4,644.67/x
  3. Step 3: Cross multiply
    6,886.70x = 9,488.99 × 4,644.67
  4. Step 4: Simplify right side
    6,886.70x = 44,073,227.18
  5. Step 5: Solve for x
    x = 44,073,227.18/6,886.70
  6. Step 6: Final answer
    x = 6,399.76

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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.