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Finding the Fourth Proportional to 5,615.14, 7,749.61 and 4,669.31

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Solution

The fourth proportional to 5,615.14, 7,749.61 and 4,669.31 is: 6,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,615.14 : 7,749.61 = 4,669.31 : x
  2. Step 2: Convert to fraction form
    5,615.14/7,749.61 = 4,669.31/x
  3. Step 3: Cross multiply
    5,615.14x = 7,749.61 × 4,669.31
  4. Step 4: Simplify right side
    5,615.14x = 36,185,292.72
  5. Step 5: Solve for x
    x = 36,185,292.72/5,615.14
  6. Step 6: Final answer
    x = 6,444.24

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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.