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Finding the Fourth Proportional to 9,800.01, 14,701.10 and 3,134.93

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Solution

The fourth proportional to 9,800.01, 14,701.10 and 3,134.93 is: 4,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,800.01 : 14,701.10 = 3,134.93 : x
  2. Step 2: Convert to fraction form
    9,800.01/14,701.10 = 3,134.93/x
  3. Step 3: Cross multiply
    9,800.01x = 14,701.10 × 3,134.93
  4. Step 4: Simplify right side
    9,800.01x = 46,086,830.24
  5. Step 5: Solve for x
    x = 46,086,830.24/9,800.01
  6. Step 6: Final answer
    x = 4,702.73

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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.