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Finding the Fourth Proportional to 6,539.76, 9,809.71 and 2,591.98

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Solution

The fourth proportional to 6,539.76, 9,809.71 and 2,591.98 is: 3,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.76 : 9,809.71 = 2,591.98 : x
  2. Step 2: Convert to fraction form
    6,539.76/9,809.71 = 2,591.98/x
  3. Step 3: Cross multiply
    6,539.76x = 9,809.71 × 2,591.98
  4. Step 4: Simplify right side
    6,539.76x = 25,426,541.12
  5. Step 5: Solve for x
    x = 25,426,541.12/6,539.76
  6. Step 6: Final answer
    x = 3,887.99

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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.