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Finding the Fourth Proportional to 6,711.66, 9,264.54 and 5,763.63

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Solution

The fourth proportional to 6,711.66, 9,264.54 and 5,763.63 is: 7,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.66 : 9,264.54 = 5,763.63 : x
  2. Step 2: Convert to fraction form
    6,711.66/9,264.54 = 5,763.63/x
  3. Step 3: Cross multiply
    6,711.66x = 9,264.54 × 5,763.63
  4. Step 4: Simplify right side
    6,711.66x = 53,397,380.68
  5. Step 5: Solve for x
    x = 53,397,380.68/6,711.66
  6. Step 6: Final answer
    x = 7,955.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.