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Finding the Fourth Proportional to 7,983.52, 11,015.52 and 4,840.48

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Solution

The fourth proportional to 7,983.52, 11,015.52 and 4,840.48 is: 6,678.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,983.52 : 11,015.52 = 4,840.48 : x
  2. Step 2: Convert to fraction form
    7,983.52/11,015.52 = 4,840.48/x
  3. Step 3: Cross multiply
    7,983.52x = 11,015.52 × 4,840.48
  4. Step 4: Simplify right side
    7,983.52x = 53,320,404.25
  5. Step 5: Solve for x
    x = 53,320,404.25/7,983.52
  6. Step 6: Final answer
    x = 6,678.81

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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.