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Finding the Fourth Proportional to 6,403.80, 9,620.10 and 4,459.80

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Solution

The fourth proportional to 6,403.80, 9,620.10 and 4,459.80 is: 6,699.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.80 : 9,620.10 = 4,459.80 : x
  2. Step 2: Convert to fraction form
    6,403.80/9,620.10 = 4,459.80/x
  3. Step 3: Cross multiply
    6,403.80x = 9,620.10 × 4,459.80
  4. Step 4: Simplify right side
    6,403.80x = 42,903,721.98
  5. Step 5: Solve for x
    x = 42,903,721.98/6,403.80
  6. Step 6: Final answer
    x = 6,699.73

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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.