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Finding the Fourth Proportional to 6,311.40, 9,465.74 and 2,362.50

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Solution

The fourth proportional to 6,311.40, 9,465.74 and 2,362.50 is: 3,543.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.40 : 9,465.74 = 2,362.50 : x
  2. Step 2: Convert to fraction form
    6,311.40/9,465.74 = 2,362.50/x
  3. Step 3: Cross multiply
    6,311.40x = 9,465.74 × 2,362.50
  4. Step 4: Simplify right side
    6,311.40x = 22,362,801.15
  5. Step 5: Solve for x
    x = 22,362,801.15/6,311.40
  6. Step 6: Final answer
    x = 3,543.24

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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.