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Finding the Fourth Proportional to 6,225.16, 9,340.98 and 2,530.12

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Solution

The fourth proportional to 6,225.16, 9,340.98 and 2,530.12 is: 3,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.16 : 9,340.98 = 2,530.12 : x
  2. Step 2: Convert to fraction form
    6,225.16/9,340.98 = 2,530.12/x
  3. Step 3: Cross multiply
    6,225.16x = 9,340.98 × 2,530.12
  4. Step 4: Simplify right side
    6,225.16x = 23,633,800.32
  5. Step 5: Solve for x
    x = 23,633,800.32/6,225.16
  6. Step 6: Final answer
    x = 3,796.50

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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.