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Finding the Fourth Proportional to 27,531, 41,290.32 and 7,809.12

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Solution

The fourth proportional to 27,531, 41,290.32 and 7,809.12 is: 11,711.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,531 : 41,290.32 = 7,809.12 : x
  2. Step 2: Convert to fraction form
    27,531/41,290.32 = 7,809.12/x
  3. Step 3: Cross multiply
    27,531x = 41,290.32 × 7,809.12
  4. Step 4: Simplify right side
    27,531x = 322,441,063.72
  5. Step 5: Solve for x
    x = 322,441,063.72/27,531
  6. Step 6: Final answer
    x = 11,711.93

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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.