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Finding the Fourth Proportional to 6,414.95, 9,621.50 and 1,735.23

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Solution

The fourth proportional to 6,414.95, 9,621.50 and 1,735.23 is: 2,602.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.95 : 9,621.50 = 1,735.23 : x
  2. Step 2: Convert to fraction form
    6,414.95/9,621.50 = 1,735.23/x
  3. Step 3: Cross multiply
    6,414.95x = 9,621.50 × 1,735.23
  4. Step 4: Simplify right side
    6,414.95x = 16,695,506.77
  5. Step 5: Solve for x
    x = 16,695,506.77/6,414.95
  6. Step 6: Final answer
    x = 2,602.59

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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.