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Finding the Fourth Proportional to 8,596.83, 11,866.16 and 5,613.13

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Solution

The fourth proportional to 8,596.83, 11,866.16 and 5,613.13 is: 7,747.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,596.83 : 11,866.16 = 5,613.13 : x
  2. Step 2: Convert to fraction form
    8,596.83/11,866.16 = 5,613.13/x
  3. Step 3: Cross multiply
    8,596.83x = 11,866.16 × 5,613.13
  4. Step 4: Simplify right side
    8,596.83x = 66,606,327.55
  5. Step 5: Solve for x
    x = 66,606,327.55/8,596.83
  6. Step 6: Final answer
    x = 7,747.77

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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.