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Finding the Fourth Proportional to 6,848.03, 10,272.05 and 1,653.91

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Solution

The fourth proportional to 6,848.03, 10,272.05 and 1,653.91 is: 2,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.03 : 10,272.05 = 1,653.91 : x
  2. Step 2: Convert to fraction form
    6,848.03/10,272.05 = 1,653.91/x
  3. Step 3: Cross multiply
    6,848.03x = 10,272.05 × 1,653.91
  4. Step 4: Simplify right side
    6,848.03x = 16,989,046.22
  5. Step 5: Solve for x
    x = 16,989,046.22/6,848.03
  6. Step 6: Final answer
    x = 2,480.87

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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.