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Finding the Fourth Proportional to 11,278.36, 15,562.62 and 6,559

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Solution

The fourth proportional to 11,278.36, 15,562.62 and 6,559 is: 9,050.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,278.36 : 15,562.62 = 6,559 : x
  2. Step 2: Convert to fraction form
    11,278.36/15,562.62 = 6,559/x
  3. Step 3: Cross multiply
    11,278.36x = 15,562.62 × 6,559
  4. Step 4: Simplify right side
    11,278.36x = 102,075,224.58
  5. Step 5: Solve for x
    x = 102,075,224.58/11,278.36
  6. Step 6: Final answer
    x = 9,050.54

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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.