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Finding the Fourth Proportional to 7,559.14, 10,427.98 and 6,509.38

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Solution

The fourth proportional to 7,559.14, 10,427.98 and 6,509.38 is: 8,979.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,559.14 : 10,427.98 = 6,509.38 : x
  2. Step 2: Convert to fraction form
    7,559.14/10,427.98 = 6,509.38/x
  3. Step 3: Cross multiply
    7,559.14x = 10,427.98 × 6,509.38
  4. Step 4: Simplify right side
    7,559.14x = 67,879,599.77
  5. Step 5: Solve for x
    x = 67,879,599.77/7,559.14
  6. Step 6: Final answer
    x = 8,979.81

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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.