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Finding the Fourth Proportional to 6,931.62, 10,397.43 and 1,737.48

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Solution

The fourth proportional to 6,931.62, 10,397.43 and 1,737.48 is: 2,606.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931.62 : 10,397.43 = 1,737.48 : x
  2. Step 2: Convert to fraction form
    6,931.62/10,397.43 = 1,737.48/x
  3. Step 3: Cross multiply
    6,931.62x = 10,397.43 × 1,737.48
  4. Step 4: Simplify right side
    6,931.62x = 18,065,326.68
  5. Step 5: Solve for x
    x = 18,065,326.68/6,931.62
  6. Step 6: Final answer
    x = 2,606.22

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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.