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Finding the Fourth Proportional to 7,102.89, 9,806.04 and 4,716.09

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Solution

The fourth proportional to 7,102.89, 9,806.04 and 4,716.09 is: 6,510.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.89 : 9,806.04 = 4,716.09 : x
  2. Step 2: Convert to fraction form
    7,102.89/9,806.04 = 4,716.09/x
  3. Step 3: Cross multiply
    7,102.89x = 9,806.04 × 4,716.09
  4. Step 4: Simplify right side
    7,102.89x = 46,246,167.18
  5. Step 5: Solve for x
    x = 46,246,167.18/7,102.89
  6. Step 6: Final answer
    x = 6,510.89

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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.