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Finding the Fourth Proportional to 6,749.76, 10,073.46 and 6,574.80

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Solution

The fourth proportional to 6,749.76, 10,073.46 and 6,574.80 is: 9,812.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,749.76 : 10,073.46 = 6,574.80 : x
  2. Step 2: Convert to fraction form
    6,749.76/10,073.46 = 6,574.80/x
  3. Step 3: Cross multiply
    6,749.76x = 10,073.46 × 6,574.80
  4. Step 4: Simplify right side
    6,749.76x = 66,230,984.81
  5. Step 5: Solve for x
    x = 66,230,984.81/6,749.76
  6. Step 6: Final answer
    x = 9,812.35

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