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Finding the Fourth Proportional to 6,415.88, 9,615.92 and 4,556.93

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Solution

The fourth proportional to 6,415.88, 9,615.92 and 4,556.93 is: 6,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.88 : 9,615.92 = 4,556.93 : x
  2. Step 2: Convert to fraction form
    6,415.88/9,615.92 = 4,556.93/x
  3. Step 3: Cross multiply
    6,415.88x = 9,615.92 × 4,556.93
  4. Step 4: Simplify right side
    6,415.88x = 43,819,003.46
  5. Step 5: Solve for x
    x = 43,819,003.46/6,415.88
  6. Step 6: Final answer
    x = 6,829.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.