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Finding the Fourth Proportional to 9,800.13, 14,702.69 and 2,874.63

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Solution

The fourth proportional to 9,800.13, 14,702.69 and 2,874.63 is: 4,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.13 : 14,702.69 = 2,874.63 : x
  2. Step 2: Convert to fraction form
    9,800.13/14,702.69 = 2,874.63/x
  3. Step 3: Cross multiply
    9,800.13x = 14,702.69 × 2,874.63
  4. Step 4: Simplify right side
    9,800.13x = 42,264,793.75
  5. Step 5: Solve for x
    x = 42,264,793.75/9,800.13
  6. Step 6: Final answer
    x = 4,312.68

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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.