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Finding the Fourth Proportional to 6,698.69, 9,244.25 and 3,714.57

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Solution

The fourth proportional to 6,698.69, 9,244.25 and 3,714.57 is: 5,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.69 : 9,244.25 = 3,714.57 : x
  2. Step 2: Convert to fraction form
    6,698.69/9,244.25 = 3,714.57/x
  3. Step 3: Cross multiply
    6,698.69x = 9,244.25 × 3,714.57
  4. Step 4: Simplify right side
    6,698.69x = 34,338,423.01
  5. Step 5: Solve for x
    x = 34,338,423.01/6,698.69
  6. Step 6: Final answer
    x = 5,126.14

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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.