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Finding the Fourth Proportional to 11,442.86, 17,193.04 and 7,284.72

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Solution

The fourth proportional to 11,442.86, 17,193.04 and 7,284.72 is: 10,945.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.86 : 17,193.04 = 7,284.72 : x
  2. Step 2: Convert to fraction form
    11,442.86/17,193.04 = 7,284.72/x
  3. Step 3: Cross multiply
    11,442.86x = 17,193.04 × 7,284.72
  4. Step 4: Simplify right side
    11,442.86x = 125,246,482.35
  5. Step 5: Solve for x
    x = 125,246,482.35/11,442.86
  6. Step 6: Final answer
    x = 10,945.39

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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.