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Finding the Fourth Proportional to 7,235.22, 9,978.64 and 6,081.06

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Solution

The fourth proportional to 7,235.22, 9,978.64 and 6,081.06 is: 8,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,235.22 : 9,978.64 = 6,081.06 : x
  2. Step 2: Convert to fraction form
    7,235.22/9,978.64 = 6,081.06/x
  3. Step 3: Cross multiply
    7,235.22x = 9,978.64 × 6,081.06
  4. Step 4: Simplify right side
    7,235.22x = 60,680,708.56
  5. Step 5: Solve for x
    x = 60,680,708.56/7,235.22
  6. Step 6: Final answer
    x = 8,386.85

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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.