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Finding the Fourth Proportional to 5,250.96, 7,830 and 4,893.48

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Solution

The fourth proportional to 5,250.96, 7,830 and 4,893.48 is: 7,296.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,250.96 : 7,830 = 4,893.48 : x
  2. Step 2: Convert to fraction form
    5,250.96/7,830 = 4,893.48/x
  3. Step 3: Cross multiply
    5,250.96x = 7,830 × 4,893.48
  4. Step 4: Simplify right side
    5,250.96x = 38,315,948.40
  5. Step 5: Solve for x
    x = 38,315,948.40/5,250.96
  6. Step 6: Final answer
    x = 7,296.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.