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Finding the Fourth Proportional to 3,270.59, 4,905.86 and 962.09

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Solution

The fourth proportional to 3,270.59, 4,905.86 and 962.09 is: 1,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.59 : 4,905.86 = 962.09 : x
  2. Step 2: Convert to fraction form
    3,270.59/4,905.86 = 962.09/x
  3. Step 3: Cross multiply
    3,270.59x = 4,905.86 × 962.09
  4. Step 4: Simplify right side
    3,270.59x = 4,719,849.51
  5. Step 5: Solve for x
    x = 4,719,849.51/3,270.59
  6. Step 6: Final answer
    x = 1,443.12

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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.