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Finding the Fourth Proportional to 6,637.64, 9,956.46 and 2,737.76

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Solution

The fourth proportional to 6,637.64, 9,956.46 and 2,737.76 is: 4,106.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,637.64 : 9,956.46 = 2,737.76 : x
  2. Step 2: Convert to fraction form
    6,637.64/9,956.46 = 2,737.76/x
  3. Step 3: Cross multiply
    6,637.64x = 9,956.46 × 2,737.76
  4. Step 4: Simplify right side
    6,637.64x = 27,258,397.93
  5. Step 5: Solve for x
    x = 27,258,397.93/6,637.64
  6. Step 6: Final answer
    x = 4,106.64

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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.