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Finding the Fourth Proportional to 6,087.99, 9,132 and 1,470.99

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Solution

The fourth proportional to 6,087.99, 9,132 and 1,470.99 is: 2,206.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.99 : 9,132 = 1,470.99 : x
  2. Step 2: Convert to fraction form
    6,087.99/9,132 = 1,470.99/x
  3. Step 3: Cross multiply
    6,087.99x = 9,132 × 1,470.99
  4. Step 4: Simplify right side
    6,087.99x = 13,433,080.68
  5. Step 5: Solve for x
    x = 13,433,080.68/6,087.99
  6. Step 6: Final answer
    x = 2,206.49

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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.