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Finding the Fourth Proportional to 8,782.48, 12,107.52 and 5,983.12

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Solution

The fourth proportional to 8,782.48, 12,107.52 and 5,983.12 is: 8,248.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.48 : 12,107.52 = 5,983.12 : x
  2. Step 2: Convert to fraction form
    8,782.48/12,107.52 = 5,983.12/x
  3. Step 3: Cross multiply
    8,782.48x = 12,107.52 × 5,983.12
  4. Step 4: Simplify right side
    8,782.48x = 72,440,745.06
  5. Step 5: Solve for x
    x = 72,440,745.06/8,782.48
  6. Step 6: Final answer
    x = 8,248.32

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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.