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Finding the Fourth Proportional to 6,846.54, 9,447.62 and 4,013.51

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Solution

The fourth proportional to 6,846.54, 9,447.62 and 4,013.51 is: 5,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.54 : 9,447.62 = 4,013.51 : x
  2. Step 2: Convert to fraction form
    6,846.54/9,447.62 = 4,013.51/x
  3. Step 3: Cross multiply
    6,846.54x = 9,447.62 × 4,013.51
  4. Step 4: Simplify right side
    6,846.54x = 37,918,050.04
  5. Step 5: Solve for x
    x = 37,918,050.04/6,846.54
  6. Step 6: Final answer
    x = 5,538.28

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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.