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Finding the Fourth Proportional to 6,493.51, 9,751.20 and 6,442.48

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Solution

The fourth proportional to 6,493.51, 9,751.20 and 6,442.48 is: 9,674.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.51 : 9,751.20 = 6,442.48 : x
  2. Step 2: Convert to fraction form
    6,493.51/9,751.20 = 6,442.48/x
  3. Step 3: Cross multiply
    6,493.51x = 9,751.20 × 6,442.48
  4. Step 4: Simplify right side
    6,493.51x = 62,821,910.98
  5. Step 5: Solve for x
    x = 62,821,910.98/6,493.51
  6. Step 6: Final answer
    x = 9,674.57

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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.