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Finding the Fourth Proportional to 6,698.66, 9,243.74 and 3,714.32

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Solution

The fourth proportional to 6,698.66, 9,243.74 and 3,714.32 is: 5,125.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,698.66 : 9,243.74 = 3,714.32 : x
  2. Step 2: Convert to fraction form
    6,698.66/9,243.74 = 3,714.32/x
  3. Step 3: Cross multiply
    6,698.66x = 9,243.74 × 3,714.32
  4. Step 4: Simplify right side
    6,698.66x = 34,334,143.57
  5. Step 5: Solve for x
    x = 34,334,143.57/6,698.66
  6. Step 6: Final answer
    x = 5,125.53

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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.