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Finding the Fourth Proportional to 6,900.62, 10,350.95 and 1,706.49

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Solution

The fourth proportional to 6,900.62, 10,350.95 and 1,706.49 is: 2,559.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.62 : 10,350.95 = 1,706.49 : x
  2. Step 2: Convert to fraction form
    6,900.62/10,350.95 = 1,706.49/x
  3. Step 3: Cross multiply
    6,900.62x = 10,350.95 × 1,706.49
  4. Step 4: Simplify right side
    6,900.62x = 17,663,784.13
  5. Step 5: Solve for x
    x = 17,663,784.13/6,900.62
  6. Step 6: Final answer
    x = 2,559.74

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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.