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Finding the Fourth Proportional to 7,790.52, 10,751.22 and 4,646.64

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Solution

The fourth proportional to 7,790.52, 10,751.22 and 4,646.64 is: 6,412.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.52 : 10,751.22 = 4,646.64 : x
  2. Step 2: Convert to fraction form
    7,790.52/10,751.22 = 4,646.64/x
  3. Step 3: Cross multiply
    7,790.52x = 10,751.22 × 4,646.64
  4. Step 4: Simplify right side
    7,790.52x = 49,957,048.90
  5. Step 5: Solve for x
    x = 49,957,048.90/7,790.52
  6. Step 6: Final answer
    x = 6,412.54

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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.