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Finding the Fourth Proportional to 9,874.53, 13,612.73 and 8,174.07

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Solution

The fourth proportional to 9,874.53, 13,612.73 and 8,174.07 is: 11,268.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.53 : 13,612.73 = 8,174.07 : x
  2. Step 2: Convert to fraction form
    9,874.53/13,612.73 = 8,174.07/x
  3. Step 3: Cross multiply
    9,874.53x = 13,612.73 × 8,174.07
  4. Step 4: Simplify right side
    9,874.53x = 111,271,367.04
  5. Step 5: Solve for x
    x = 111,271,367.04/9,874.53
  6. Step 6: Final answer
    x = 11,268.52

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1.5x scale

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.