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Finding the Fourth Proportional to 3,275.06, 4,913.30 and 966.74

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Solution

The fourth proportional to 3,275.06, 4,913.30 and 966.74 is: 1,450.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.06 : 4,913.30 = 966.74 : x
  2. Step 2: Convert to fraction form
    3,275.06/4,913.30 = 966.74/x
  3. Step 3: Cross multiply
    3,275.06x = 4,913.30 × 966.74
  4. Step 4: Simplify right side
    3,275.06x = 4,749,861.49
  5. Step 5: Solve for x
    x = 4,749,861.49/3,275.06
  6. Step 6: Final answer
    x = 1,450.32

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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.