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Finding the Fourth Proportional to 6,510.23, 9,749.61 and 3,728.46

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Solution

The fourth proportional to 6,510.23, 9,749.61 and 3,728.46 is: 5,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.23 : 9,749.61 = 3,728.46 : x
  2. Step 2: Convert to fraction form
    6,510.23/9,749.61 = 3,728.46/x
  3. Step 3: Cross multiply
    6,510.23x = 9,749.61 × 3,728.46
  4. Step 4: Simplify right side
    6,510.23x = 36,351,030.90
  5. Step 5: Solve for x
    x = 36,351,030.90/6,510.23
  6. Step 6: Final answer
    x = 5,583.68

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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.