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Finding the Fourth Proportional to 9,778.32, 14,682.06 and 6,862.32

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Solution

The fourth proportional to 9,778.32, 14,682.06 and 6,862.32 is: 10,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778.32 : 14,682.06 = 6,862.32 : x
  2. Step 2: Convert to fraction form
    9,778.32/14,682.06 = 6,862.32/x
  3. Step 3: Cross multiply
    9,778.32x = 14,682.06 × 6,862.32
  4. Step 4: Simplify right side
    9,778.32x = 100,752,993.98
  5. Step 5: Solve for x
    x = 100,752,993.98/9,778.32
  6. Step 6: Final answer
    x = 10,303.71

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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.