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Finding the Fourth Proportional to 27,532.32, 41,300.04 and 7,809.32

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Solution

The fourth proportional to 27,532.32, 41,300.04 and 7,809.32 is: 11,714.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,532.32 : 41,300.04 = 7,809.32 : x
  2. Step 2: Convert to fraction form
    27,532.32/41,300.04 = 7,809.32/x
  3. Step 3: Cross multiply
    27,532.32x = 41,300.04 × 7,809.32
  4. Step 4: Simplify right side
    27,532.32x = 322,525,021.87
  5. Step 5: Solve for x
    x = 322,525,021.87/27,532.32
  6. Step 6: Final answer
    x = 11,714.41

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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.