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Finding the Fourth Proportional to 4,806.54, 7,170.63 and 4,684.43

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Solution

The fourth proportional to 4,806.54, 7,170.63 and 4,684.43 is: 6,988.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.54 : 7,170.63 = 4,684.43 : x
  2. Step 2: Convert to fraction form
    4,806.54/7,170.63 = 4,684.43/x
  3. Step 3: Cross multiply
    4,806.54x = 7,170.63 × 4,684.43
  4. Step 4: Simplify right side
    4,806.54x = 33,590,314.65
  5. Step 5: Solve for x
    x = 33,590,314.65/4,806.54
  6. Step 6: Final answer
    x = 6,988.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.