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Finding the Fourth Proportional to 11,280.36, 15,565.38 and 6,561

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Solution

The fourth proportional to 11,280.36, 15,565.38 and 6,561 is: 9,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280.36 : 15,565.38 = 6,561 : x
  2. Step 2: Convert to fraction form
    11,280.36/15,565.38 = 6,561/x
  3. Step 3: Cross multiply
    11,280.36x = 15,565.38 × 6,561
  4. Step 4: Simplify right side
    11,280.36x = 102,124,458.18
  5. Step 5: Solve for x
    x = 102,124,458.18/11,280.36
  6. Step 6: Final answer
    x = 9,053.30

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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.