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Finding the Fourth Proportional to 13,070, 19,610.28 and 5,670.56

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Solution

The fourth proportional to 13,070, 19,610.28 and 5,670.56 is: 8,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,070 : 19,610.28 = 5,670.56 : x
  2. Step 2: Convert to fraction form
    13,070/19,610.28 = 5,670.56/x
  3. Step 3: Cross multiply
    13,070x = 19,610.28 × 5,670.56
  4. Step 4: Simplify right side
    13,070x = 111,201,269.36
  5. Step 5: Solve for x
    x = 111,201,269.36/13,070
  6. Step 6: Final answer
    x = 8,508.13

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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.