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Finding the Fourth Proportional to 5,615.22, 7,757.46 and 4,784.58

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Solution

The fourth proportional to 5,615.22, 7,757.46 and 4,784.58 is: 6,609.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.22 : 7,757.46 = 4,784.58 : x
  2. Step 2: Convert to fraction form
    5,615.22/7,757.46 = 4,784.58/x
  3. Step 3: Cross multiply
    5,615.22x = 7,757.46 × 4,784.58
  4. Step 4: Simplify right side
    5,615.22x = 37,116,187.97
  5. Step 5: Solve for x
    x = 37,116,187.97/5,615.22
  6. Step 6: Final answer
    x = 6,609.93

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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.