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Finding the Fourth Proportional to 9,180.32, 13,784.52 and 8,093.84

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Solution

The fourth proportional to 9,180.32, 13,784.52 and 8,093.84 is: 12,153.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.32 : 13,784.52 = 8,093.84 : x
  2. Step 2: Convert to fraction form
    9,180.32/13,784.52 = 8,093.84/x
  3. Step 3: Cross multiply
    9,180.32x = 13,784.52 × 8,093.84
  4. Step 4: Simplify right side
    9,180.32x = 111,569,699.36
  5. Step 5: Solve for x
    x = 111,569,699.36/9,180.32
  6. Step 6: Final answer
    x = 12,153.14

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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.