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Finding the Fourth Proportional to 27,287.84, 40,927.16 and 7,568.40

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Solution

The fourth proportional to 27,287.84, 40,927.16 and 7,568.40 is: 11,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,287.84 : 40,927.16 = 7,568.40 : x
  2. Step 2: Convert to fraction form
    27,287.84/40,927.16 = 7,568.40/x
  3. Step 3: Cross multiply
    27,287.84x = 40,927.16 × 7,568.40
  4. Step 4: Simplify right side
    27,287.84x = 309,753,117.74
  5. Step 5: Solve for x
    x = 309,753,117.74/27,287.84
  6. Step 6: Final answer
    x = 11,351.32

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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.