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Finding the Fourth Proportional to 6,093.50, 9,140.30 and 1,476.50

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Solution

The fourth proportional to 6,093.50, 9,140.30 and 1,476.50 is: 2,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.50 : 9,140.30 = 1,476.50 : x
  2. Step 2: Convert to fraction form
    6,093.50/9,140.30 = 1,476.50/x
  3. Step 3: Cross multiply
    6,093.50x = 9,140.30 × 1,476.50
  4. Step 4: Simplify right side
    6,093.50x = 13,495,652.95
  5. Step 5: Solve for x
    x = 13,495,652.95/6,093.50
  6. Step 6: Final answer
    x = 2,214.76

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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.