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Finding the Fourth Proportional to 3,267.06, 4,899.78 and 958.56

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Solution

The fourth proportional to 3,267.06, 4,899.78 and 958.56 is: 1,437.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267.06 : 4,899.78 = 958.56 : x
  2. Step 2: Convert to fraction form
    3,267.06/4,899.78 = 958.56/x
  3. Step 3: Cross multiply
    3,267.06x = 4,899.78 × 958.56
  4. Step 4: Simplify right side
    3,267.06x = 4,696,733.12
  5. Step 5: Solve for x
    x = 4,696,733.12/3,267.06
  6. Step 6: Final answer
    x = 1,437.60

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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.