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Finding the Fourth Proportional to 5,699.94, 8,549.20 and 1,539.63

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Solution

The fourth proportional to 5,699.94, 8,549.20 and 1,539.63 is: 2,309.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.94 : 8,549.20 = 1,539.63 : x
  2. Step 2: Convert to fraction form
    5,699.94/8,549.20 = 1,539.63/x
  3. Step 3: Cross multiply
    5,699.94x = 8,549.20 × 1,539.63
  4. Step 4: Simplify right side
    5,699.94x = 13,162,604.80
  5. Step 5: Solve for x
    x = 13,162,604.80/5,699.94
  6. Step 6: Final answer
    x = 2,309.25

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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.