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Finding the Fourth Proportional to 6,189.50, 9,284.29 and 1,509.53

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Solution

The fourth proportional to 6,189.50, 9,284.29 and 1,509.53 is: 2,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.50 : 9,284.29 = 1,509.53 : x
  2. Step 2: Convert to fraction form
    6,189.50/9,284.29 = 1,509.53/x
  3. Step 3: Cross multiply
    6,189.50x = 9,284.29 × 1,509.53
  4. Step 4: Simplify right side
    6,189.50x = 14,014,864.09
  5. Step 5: Solve for x
    x = 14,014,864.09/6,189.50
  6. Step 6: Final answer
    x = 2,264.30

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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.