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Finding the Fourth Proportional to 6,998.09, 10,497.13 and 6,570.41

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Solution

The fourth proportional to 6,998.09, 10,497.13 and 6,570.41 is: 9,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998.09 : 10,497.13 = 6,570.41 : x
  2. Step 2: Convert to fraction form
    6,998.09/10,497.13 = 6,570.41/x
  3. Step 3: Cross multiply
    6,998.09x = 10,497.13 × 6,570.41
  4. Step 4: Simplify right side
    6,998.09x = 68,970,379.01
  5. Step 5: Solve for x
    x = 68,970,379.01/6,998.09
  6. Step 6: Final answer
    x = 9,855.61

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Half scale
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Double scale
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Similar ratio
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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.