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Finding the Fourth Proportional to 11,570.54, 15,967.26 and 6,535.76

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Solution

The fourth proportional to 11,570.54, 15,967.26 and 6,535.76 is: 9,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.54 : 15,967.26 = 6,535.76 : x
  2. Step 2: Convert to fraction form
    11,570.54/15,967.26 = 6,535.76/x
  3. Step 3: Cross multiply
    11,570.54x = 15,967.26 × 6,535.76
  4. Step 4: Simplify right side
    11,570.54x = 104,358,099.38
  5. Step 5: Solve for x
    x = 104,358,099.38/11,570.54
  6. Step 6: Final answer
    x = 9,019.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.