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Finding the Fourth Proportional to 5,253.96, 7,834.47 and 4,896.48

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Solution

The fourth proportional to 5,253.96, 7,834.47 and 4,896.48 is: 7,301.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,253.96 : 7,834.47 = 4,896.48 : x
  2. Step 2: Convert to fraction form
    5,253.96/7,834.47 = 4,896.48/x
  3. Step 3: Cross multiply
    5,253.96x = 7,834.47 × 4,896.48
  4. Step 4: Simplify right side
    5,253.96x = 38,361,325.67
  5. Step 5: Solve for x
    x = 38,361,325.67/5,253.96
  6. Step 6: Final answer
    x = 7,301.41

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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.