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Finding the Fourth Proportional to 6,872.51, 9,484.06 and 3,728.70

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Solution

The fourth proportional to 6,872.51, 9,484.06 and 3,728.70 is: 5,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,872.51 : 9,484.06 = 3,728.70 : x
  2. Step 2: Convert to fraction form
    6,872.51/9,484.06 = 3,728.70/x
  3. Step 3: Cross multiply
    6,872.51x = 9,484.06 × 3,728.70
  4. Step 4: Simplify right side
    6,872.51x = 35,363,205.20
  5. Step 5: Solve for x
    x = 35,363,205.20/6,872.51
  6. Step 6: Final answer
    x = 5,145.60

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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.