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Finding the Fourth Proportional to 6,721.35, 9,275.42 and 3,737.00

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Solution

The fourth proportional to 6,721.35, 9,275.42 and 3,737.00 is: 5,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,721.35 : 9,275.42 = 3,737.00 : x
  2. Step 2: Convert to fraction form
    6,721.35/9,275.42 = 3,737.00/x
  3. Step 3: Cross multiply
    6,721.35x = 9,275.42 × 3,737.00
  4. Step 4: Simplify right side
    6,721.35x = 34,662,277.07
  5. Step 5: Solve for x
    x = 34,662,277.07/6,721.35
  6. Step 6: Final answer
    x = 5,157.04

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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.