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Finding the Fourth Proportional to 7,853.52, 11,766.24 and 5,650.32

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Solution

The fourth proportional to 7,853.52, 11,766.24 and 5,650.32 is: 8,465.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.52 : 11,766.24 = 5,650.32 : x
  2. Step 2: Convert to fraction form
    7,853.52/11,766.24 = 5,650.32/x
  3. Step 3: Cross multiply
    7,853.52x = 11,766.24 × 5,650.32
  4. Step 4: Simplify right side
    7,853.52x = 66,483,021.20
  5. Step 5: Solve for x
    x = 66,483,021.20/7,853.52
  6. Step 6: Final answer
    x = 8,465.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.