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Finding the Fourth Proportional to 27,707.76, 41,561.36 and 6,931.26

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Solution

The fourth proportional to 27,707.76, 41,561.36 and 6,931.26 is: 10,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.76 : 41,561.36 = 6,931.26 : x
  2. Step 2: Convert to fraction form
    27,707.76/41,561.36 = 6,931.26/x
  3. Step 3: Cross multiply
    27,707.76x = 41,561.36 × 6,931.26
  4. Step 4: Simplify right side
    27,707.76x = 288,072,592.11
  5. Step 5: Solve for x
    x = 288,072,592.11/27,707.76
  6. Step 6: Final answer
    x = 10,396.82

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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.