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Finding the Fourth Proportional to 4,060.50, 6,090.76 and 982.50

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Solution

The fourth proportional to 4,060.50, 6,090.76 and 982.50 is: 1,473.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,060.50 : 6,090.76 = 982.50 : x
  2. Step 2: Convert to fraction form
    4,060.50/6,090.76 = 982.50/x
  3. Step 3: Cross multiply
    4,060.50x = 6,090.76 × 982.50
  4. Step 4: Simplify right side
    4,060.50x = 5,984,171.70
  5. Step 5: Solve for x
    x = 5,984,171.70/4,060.50
  6. Step 6: Final answer
    x = 1,473.75

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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.