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Finding the Fourth Proportional to 7,102.83, 9,806.11 and 6,314.70

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Solution

The fourth proportional to 7,102.83, 9,806.11 and 6,314.70 is: 8,718.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.83 : 9,806.11 = 6,314.70 : x
  2. Step 2: Convert to fraction form
    7,102.83/9,806.11 = 6,314.70/x
  3. Step 3: Cross multiply
    7,102.83x = 9,806.11 × 6,314.70
  4. Step 4: Simplify right side
    7,102.83x = 61,922,608.64
  5. Step 5: Solve for x
    x = 61,922,608.64/7,102.83
  6. Step 6: Final answer
    x = 8,718.02

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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.