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Finding the Fourth Proportional to 11,465.83, 17,198.74 and 7,569.32

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Solution

The fourth proportional to 11,465.83, 17,198.74 and 7,569.32 is: 11,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,465.83 : 17,198.74 = 7,569.32 : x
  2. Step 2: Convert to fraction form
    11,465.83/17,198.74 = 7,569.32/x
  3. Step 3: Cross multiply
    11,465.83x = 17,198.74 × 7,569.32
  4. Step 4: Simplify right side
    11,465.83x = 130,182,766.66
  5. Step 5: Solve for x
    x = 130,182,766.66/11,465.83
  6. Step 6: Final answer
    x = 11,353.98

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1.5x scale

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.