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Finding the Fourth Proportional to 7,147.54, 9,862.46 and 4,493.07

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Solution

The fourth proportional to 7,147.54, 9,862.46 and 4,493.07 is: 6,199.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,147.54 : 9,862.46 = 4,493.07 : x
  2. Step 2: Convert to fraction form
    7,147.54/9,862.46 = 4,493.07/x
  3. Step 3: Cross multiply
    7,147.54x = 9,862.46 × 4,493.07
  4. Step 4: Simplify right side
    7,147.54x = 44,312,717.54
  5. Step 5: Solve for x
    x = 44,312,717.54/7,147.54
  6. Step 6: Final answer
    x = 6,199.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.