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Finding the Fourth Proportional to 6,983.58, 9,626.12 and 6,411.32

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Solution

The fourth proportional to 6,983.58, 9,626.12 and 6,411.32 is: 8,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,983.58 : 9,626.12 = 6,411.32 : x
  2. Step 2: Convert to fraction form
    6,983.58/9,626.12 = 6,411.32/x
  3. Step 3: Cross multiply
    6,983.58x = 9,626.12 × 6,411.32
  4. Step 4: Simplify right side
    6,983.58x = 61,716,135.68
  5. Step 5: Solve for x
    x = 61,716,135.68/6,983.58
  6. Step 6: Final answer
    x = 8,837.32

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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.