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Finding the Fourth Proportional to 6,953.84, 10,429.76 and 1,759.44

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Solution

The fourth proportional to 6,953.84, 10,429.76 and 1,759.44 is: 2,638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.84 : 10,429.76 = 1,759.44 : x
  2. Step 2: Convert to fraction form
    6,953.84/10,429.76 = 1,759.44/x
  3. Step 3: Cross multiply
    6,953.84x = 10,429.76 × 1,759.44
  4. Step 4: Simplify right side
    6,953.84x = 18,350,536.93
  5. Step 5: Solve for x
    x = 18,350,536.93/6,953.84
  6. Step 6: Final answer
    x = 2,638.91

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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.