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Finding the Fourth Proportional to 6,843.81, 10,284.95 and 4,070.98

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Solution

The fourth proportional to 6,843.81, 10,284.95 and 4,070.98 is: 6,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.81 : 10,284.95 = 4,070.98 : x
  2. Step 2: Convert to fraction form
    6,843.81/10,284.95 = 4,070.98/x
  3. Step 3: Cross multiply
    6,843.81x = 10,284.95 × 4,070.98
  4. Step 4: Simplify right side
    6,843.81x = 41,869,825.75
  5. Step 5: Solve for x
    x = 41,869,825.75/6,843.81
  6. Step 6: Final answer
    x = 6,117.91

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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.