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Finding the Fourth Proportional to 27,792.68, 41,678.52 and 9,068.28

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Solution

The fourth proportional to 27,792.68, 41,678.52 and 9,068.28 is: 13,598.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792.68 : 41,678.52 = 9,068.28 : x
  2. Step 2: Convert to fraction form
    27,792.68/41,678.52 = 9,068.28/x
  3. Step 3: Cross multiply
    27,792.68x = 41,678.52 × 9,068.28
  4. Step 4: Simplify right side
    27,792.68x = 377,952,489.35
  5. Step 5: Solve for x
    x = 377,952,489.35/27,792.68
  6. Step 6: Final answer
    x = 13,598.99

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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.