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Finding the Fourth Proportional to 6,998, 9,657.27 and 4,205.12

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Solution

The fourth proportional to 6,998, 9,657.27 and 4,205.12 is: 5,803.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,998 : 9,657.27 = 4,205.12 : x
  2. Step 2: Convert to fraction form
    6,998/9,657.27 = 4,205.12/x
  3. Step 3: Cross multiply
    6,998x = 9,657.27 × 4,205.12
  4. Step 4: Simplify right side
    6,998x = 40,609,979.22
  5. Step 5: Solve for x
    x = 40,609,979.22/6,998
  6. Step 6: Final answer
    x = 5,803.08

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.