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Finding the Fourth Proportional to 3,158.06, 4,736.86 and 966.67

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Solution

The fourth proportional to 3,158.06, 4,736.86 and 966.67 is: 1,449.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.06 : 4,736.86 = 966.67 : x
  2. Step 2: Convert to fraction form
    3,158.06/4,736.86 = 966.67/x
  3. Step 3: Cross multiply
    3,158.06x = 4,736.86 × 966.67
  4. Step 4: Simplify right side
    3,158.06x = 4,578,966.20
  5. Step 5: Solve for x
    x = 4,578,966.20/3,158.06
  6. Step 6: Final answer
    x = 1,449.93

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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.