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Finding the Fourth Proportional to 7,073.44, 10,539.07 and 6,676

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Solution

The fourth proportional to 7,073.44, 10,539.07 and 6,676 is: 9,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,073.44 : 10,539.07 = 6,676 : x
  2. Step 2: Convert to fraction form
    7,073.44/10,539.07 = 6,676/x
  3. Step 3: Cross multiply
    7,073.44x = 10,539.07 × 6,676
  4. Step 4: Simplify right side
    7,073.44x = 70,358,831.32
  5. Step 5: Solve for x
    x = 70,358,831.32/7,073.44
  6. Step 6: Final answer
    x = 9,946.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.