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Finding the Fourth Proportional to 13,160.50, 19,750.47 and 6,235

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Solution

The fourth proportional to 13,160.50, 19,750.47 and 6,235 is: 9,357.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,160.50 : 19,750.47 = 6,235 : x
  2. Step 2: Convert to fraction form
    13,160.50/19,750.47 = 6,235/x
  3. Step 3: Cross multiply
    13,160.50x = 19,750.47 × 6,235
  4. Step 4: Simplify right side
    13,160.50x = 123,144,180.45
  5. Step 5: Solve for x
    x = 123,144,180.45/13,160.50
  6. Step 6: Final answer
    x = 9,357.11

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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.