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Finding the Fourth Proportional to 8,193.04, 11,302.16 and 5,541.40

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Solution

The fourth proportional to 8,193.04, 11,302.16 and 5,541.40 is: 7,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.04 : 11,302.16 = 5,541.40 : x
  2. Step 2: Convert to fraction form
    8,193.04/11,302.16 = 5,541.40/x
  3. Step 3: Cross multiply
    8,193.04x = 11,302.16 × 5,541.40
  4. Step 4: Simplify right side
    8,193.04x = 62,629,789.42
  5. Step 5: Solve for x
    x = 62,629,789.42/8,193.04
  6. Step 6: Final answer
    x = 7,644.27

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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.