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Finding the Fourth Proportional to 6,232.34, 9,341.33 and 2,530.50

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Solution

The fourth proportional to 6,232.34, 9,341.33 and 2,530.50 is: 3,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.34 : 9,341.33 = 2,530.50 : x
  2. Step 2: Convert to fraction form
    6,232.34/9,341.33 = 2,530.50/x
  3. Step 3: Cross multiply
    6,232.34x = 9,341.33 × 2,530.50
  4. Step 4: Simplify right side
    6,232.34x = 23,638,222.91
  5. Step 5: Solve for x
    x = 23,638,222.91/6,232.34
  6. Step 6: Final answer
    x = 3,792.84

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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.