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Finding the Fourth Proportional to 9,800.15, 14,702.69 and 4,252.14

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Solution

The fourth proportional to 9,800.15, 14,702.69 and 4,252.14 is: 6,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.15 : 14,702.69 = 4,252.14 : x
  2. Step 2: Convert to fraction form
    9,800.15/14,702.69 = 4,252.14/x
  3. Step 3: Cross multiply
    9,800.15x = 14,702.69 × 4,252.14
  4. Step 4: Simplify right side
    9,800.15x = 62,517,906.89
  5. Step 5: Solve for x
    x = 62,517,906.89/9,800.15
  6. Step 6: Final answer
    x = 6,379.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.