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Finding the Fourth Proportional to 8,351.01, 11,524.52 and 4,574.10

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Solution

The fourth proportional to 8,351.01, 11,524.52 and 4,574.10 is: 6,312.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,351.01 : 11,524.52 = 4,574.10 : x
  2. Step 2: Convert to fraction form
    8,351.01/11,524.52 = 4,574.10/x
  3. Step 3: Cross multiply
    8,351.01x = 11,524.52 × 4,574.10
  4. Step 4: Simplify right side
    8,351.01x = 52,714,306.93
  5. Step 5: Solve for x
    x = 52,714,306.93/8,351.01
  6. Step 6: Final answer
    x = 6,312.33

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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.