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Finding the Fourth Proportional to 27,289.42, 40,934.16 and 7,568.16

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Solution

The fourth proportional to 27,289.42, 40,934.16 and 7,568.16 is: 11,352.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,289.42 : 40,934.16 = 7,568.16 : x
  2. Step 2: Convert to fraction form
    27,289.42/40,934.16 = 7,568.16/x
  3. Step 3: Cross multiply
    27,289.42x = 40,934.16 × 7,568.16
  4. Step 4: Simplify right side
    27,289.42x = 309,796,272.35
  5. Step 5: Solve for x
    x = 309,796,272.35/27,289.42
  6. Step 6: Final answer
    x = 11,352.25

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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.