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Finding the Fourth Proportional to 3,460.93, 5,191.40 and 962.03

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Solution

The fourth proportional to 3,460.93, 5,191.40 and 962.03 is: 1,443.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.93 : 5,191.40 = 962.03 : x
  2. Step 2: Convert to fraction form
    3,460.93/5,191.40 = 962.03/x
  3. Step 3: Cross multiply
    3,460.93x = 5,191.40 × 962.03
  4. Step 4: Simplify right side
    3,460.93x = 4,994,282.54
  5. Step 5: Solve for x
    x = 4,994,282.54/3,460.93
  6. Step 6: Final answer
    x = 1,443.05

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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.