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Finding the Fourth Proportional to 6,539.94, 9,812.88 and 5,986.24

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Solution

The fourth proportional to 6,539.94, 9,812.88 and 5,986.24 is: 8,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.94 : 9,812.88 = 5,986.24 : x
  2. Step 2: Convert to fraction form
    6,539.94/9,812.88 = 5,986.24/x
  3. Step 3: Cross multiply
    6,539.94x = 9,812.88 × 5,986.24
  4. Step 4: Simplify right side
    6,539.94x = 58,742,230.24
  5. Step 5: Solve for x
    x = 58,742,230.24/6,539.94
  6. Step 6: Final answer
    x = 8,982.07

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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.