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Finding the Fourth Proportional to 6,712.57, 9,263.85 and 3,728.93

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Solution

The fourth proportional to 6,712.57, 9,263.85 and 3,728.93 is: 5,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.57 : 9,263.85 = 3,728.93 : x
  2. Step 2: Convert to fraction form
    6,712.57/9,263.85 = 3,728.93/x
  3. Step 3: Cross multiply
    6,712.57x = 9,263.85 × 3,728.93
  4. Step 4: Simplify right side
    6,712.57x = 34,544,248.18
  5. Step 5: Solve for x
    x = 34,544,248.18/6,712.57
  6. Step 6: Final answer
    x = 5,146.21

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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.