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Finding the Fourth Proportional to 9,406.84, 12,976.74 and 6,005.44

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Solution

The fourth proportional to 9,406.84, 12,976.74 and 6,005.44 is: 8,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.84 : 12,976.74 = 6,005.44 : x
  2. Step 2: Convert to fraction form
    9,406.84/12,976.74 = 6,005.44/x
  3. Step 3: Cross multiply
    9,406.84x = 12,976.74 × 6,005.44
  4. Step 4: Simplify right side
    9,406.84x = 77,931,033.47
  5. Step 5: Solve for x
    x = 77,931,033.47/9,406.84
  6. Step 6: Final answer
    x = 8,284.51

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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.