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Finding the Fourth Proportional to 17,874.66, 26,782.82 and 9,097.50

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Solution

The fourth proportional to 17,874.66, 26,782.82 and 9,097.50 is: 13,631.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,874.66 : 26,782.82 = 9,097.50 : x
  2. Step 2: Convert to fraction form
    17,874.66/26,782.82 = 9,097.50/x
  3. Step 3: Cross multiply
    17,874.66x = 26,782.82 × 9,097.50
  4. Step 4: Simplify right side
    17,874.66x = 243,656,704.95
  5. Step 5: Solve for x
    x = 243,656,704.95/17,874.66
  6. Step 6: Final answer
    x = 13,631.40

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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.