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Finding the Fourth Proportional to 6,695.52, 9,172.73 and 6,446.24

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Solution

The fourth proportional to 6,695.52, 9,172.73 and 6,446.24 is: 8,831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,695.52 : 9,172.73 = 6,446.24 : x
  2. Step 2: Convert to fraction form
    6,695.52/9,172.73 = 6,446.24/x
  3. Step 3: Cross multiply
    6,695.52x = 9,172.73 × 6,446.24
  4. Step 4: Simplify right side
    6,695.52x = 59,129,619.04
  5. Step 5: Solve for x
    x = 59,129,619.04/6,695.52
  6. Step 6: Final answer
    x = 8,831.22

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.