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Finding the Fourth Proportional to 8,976.44, 12,386.16 and 4,997.60

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Solution

The fourth proportional to 8,976.44, 12,386.16 and 4,997.60 is: 6,895.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,976.44 : 12,386.16 = 4,997.60 : x
  2. Step 2: Convert to fraction form
    8,976.44/12,386.16 = 4,997.60/x
  3. Step 3: Cross multiply
    8,976.44x = 12,386.16 × 4,997.60
  4. Step 4: Simplify right side
    8,976.44x = 61,901,073.22
  5. Step 5: Solve for x
    x = 61,901,073.22/8,976.44
  6. Step 6: Final answer
    x = 6,895.95

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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.