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Finding the Fourth Proportional to 8,653.77, 11,941.83 and 5,302.26

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Solution

The fourth proportional to 8,653.77, 11,941.83 and 5,302.26 is: 7,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.77 : 11,941.83 = 5,302.26 : x
  2. Step 2: Convert to fraction form
    8,653.77/11,941.83 = 5,302.26/x
  3. Step 3: Cross multiply
    8,653.77x = 11,941.83 × 5,302.26
  4. Step 4: Simplify right side
    8,653.77x = 63,318,687.54
  5. Step 5: Solve for x
    x = 63,318,687.54/8,653.77
  6. Step 6: Final answer
    x = 7,316.89

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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.