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Finding the Fourth Proportional to 6,352.02, 9,527.49 and 1,735.02

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Solution

The fourth proportional to 6,352.02, 9,527.49 and 1,735.02 is: 2,602.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.02 : 9,527.49 = 1,735.02 : x
  2. Step 2: Convert to fraction form
    6,352.02/9,527.49 = 1,735.02/x
  3. Step 3: Cross multiply
    6,352.02x = 9,527.49 × 1,735.02
  4. Step 4: Simplify right side
    6,352.02x = 16,530,385.70
  5. Step 5: Solve for x
    x = 16,530,385.70/6,352.02
  6. Step 6: Final answer
    x = 2,602.38

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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.