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Finding the Fourth Proportional to 5,969.82, 8,954.76 and 1,587.60

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Solution

The fourth proportional to 5,969.82, 8,954.76 and 1,587.60 is: 2,381.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.82 : 8,954.76 = 1,587.60 : x
  2. Step 2: Convert to fraction form
    5,969.82/8,954.76 = 1,587.60/x
  3. Step 3: Cross multiply
    5,969.82x = 8,954.76 × 1,587.60
  4. Step 4: Simplify right side
    5,969.82x = 14,216,576.98
  5. Step 5: Solve for x
    x = 14,216,576.98/5,969.82
  6. Step 6: Final answer
    x = 2,381.41

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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.