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Finding the Fourth Proportional to 9,193.64, 12,687.51 and 5,214.92

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Solution

The fourth proportional to 9,193.64, 12,687.51 and 5,214.92 is: 7,196.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.64 : 12,687.51 = 5,214.92 : x
  2. Step 2: Convert to fraction form
    9,193.64/12,687.51 = 5,214.92/x
  3. Step 3: Cross multiply
    9,193.64x = 12,687.51 × 5,214.92
  4. Step 4: Simplify right side
    9,193.64x = 66,164,349.65
  5. Step 5: Solve for x
    x = 66,164,349.65/9,193.64
  6. Step 6: Final answer
    x = 7,196.75

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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.