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Finding the Fourth Proportional to 23,758.56, 35,638.11 and 6,230.16

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Solution

The fourth proportional to 23,758.56, 35,638.11 and 6,230.16 is: 9,345.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,758.56 : 35,638.11 = 6,230.16 : x
  2. Step 2: Convert to fraction form
    23,758.56/35,638.11 = 6,230.16/x
  3. Step 3: Cross multiply
    23,758.56x = 35,638.11 × 6,230.16
  4. Step 4: Simplify right side
    23,758.56x = 222,031,127.40
  5. Step 5: Solve for x
    x = 222,031,127.40/23,758.56
  6. Step 6: Final answer
    x = 9,345.31

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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.