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Finding the Fourth Proportional to 4,706.74, 7,065.22 and 3,540.07

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Solution

The fourth proportional to 4,706.74, 7,065.22 and 3,540.07 is: 5,313.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.74 : 7,065.22 = 3,540.07 : x
  2. Step 2: Convert to fraction form
    4,706.74/7,065.22 = 3,540.07/x
  3. Step 3: Cross multiply
    4,706.74x = 7,065.22 × 3,540.07
  4. Step 4: Simplify right side
    4,706.74x = 25,011,373.37
  5. Step 5: Solve for x
    x = 25,011,373.37/4,706.74
  6. Step 6: Final answer
    x = 5,313.95

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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.