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Finding the Fourth Proportional to 6,684.90, 9,222.62 and 5,152.28

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Solution

The fourth proportional to 6,684.90, 9,222.62 and 5,152.28 is: 7,108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.90 : 9,222.62 = 5,152.28 : x
  2. Step 2: Convert to fraction form
    6,684.90/9,222.62 = 5,152.28/x
  3. Step 3: Cross multiply
    6,684.90x = 9,222.62 × 5,152.28
  4. Step 4: Simplify right side
    6,684.90x = 47,517,520.57
  5. Step 5: Solve for x
    x = 47,517,520.57/6,684.90
  6. Step 6: Final answer
    x = 7,108.19

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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.