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Finding the Fourth Proportional to 4,902.90, 6,883.50 and 4,902.90

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Solution

The fourth proportional to 4,902.90, 6,883.50 and 4,902.90 is: 6,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.90 : 6,883.50 = 4,902.90 : x
  2. Step 2: Convert to fraction form
    4,902.90/6,883.50 = 4,902.90/x
  3. Step 3: Cross multiply
    4,902.90x = 6,883.50 × 4,902.90
  4. Step 4: Simplify right side
    4,902.90x = 33,749,112.15
  5. Step 5: Solve for x
    x = 33,749,112.15/4,902.90
  6. Step 6: Final answer
    x = 6,883.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.