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Finding the Fourth Proportional to 7,049.85, 9,728.54 and 4,065.81

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Solution

The fourth proportional to 7,049.85, 9,728.54 and 4,065.81 is: 5,610.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,049.85 : 9,728.54 = 4,065.81 : x
  2. Step 2: Convert to fraction form
    7,049.85/9,728.54 = 4,065.81/x
  3. Step 3: Cross multiply
    7,049.85x = 9,728.54 × 4,065.81
  4. Step 4: Simplify right side
    7,049.85x = 39,554,374.89
  5. Step 5: Solve for x
    x = 39,554,374.89/7,049.85
  6. Step 6: Final answer
    x = 5,610.67

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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.