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Finding the Fourth Proportional to 10,486.56, 15,746.56 and 6,107.20

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Solution

The fourth proportional to 10,486.56, 15,746.56 and 6,107.20 is: 9,170.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,486.56 : 15,746.56 = 6,107.20 : x
  2. Step 2: Convert to fraction form
    10,486.56/15,746.56 = 6,107.20/x
  3. Step 3: Cross multiply
    10,486.56x = 15,746.56 × 6,107.20
  4. Step 4: Simplify right side
    10,486.56x = 96,167,391.23
  5. Step 5: Solve for x
    x = 96,167,391.23/10,486.56
  6. Step 6: Final answer
    x = 9,170.54

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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.