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Finding the Fourth Proportional to 7,608.41, 11,393.98 and 6,284.06

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Solution

The fourth proportional to 7,608.41, 11,393.98 and 6,284.06 is: 9,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.41 : 11,393.98 = 6,284.06 : x
  2. Step 2: Convert to fraction form
    7,608.41/11,393.98 = 6,284.06/x
  3. Step 3: Cross multiply
    7,608.41x = 11,393.98 × 6,284.06
  4. Step 4: Simplify right side
    7,608.41x = 71,600,424.01
  5. Step 5: Solve for x
    x = 71,600,424.01/7,608.41
  6. Step 6: Final answer
    x = 9,410.70

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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.