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Finding the Fourth Proportional to 5,973.54, 8,960.82 and 1,591

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Solution

The fourth proportional to 5,973.54, 8,960.82 and 1,591 is: 2,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,973.54 : 8,960.82 = 1,591 : x
  2. Step 2: Convert to fraction form
    5,973.54/8,960.82 = 1,591/x
  3. Step 3: Cross multiply
    5,973.54x = 8,960.82 × 1,591
  4. Step 4: Simplify right side
    5,973.54x = 14,256,664.62
  5. Step 5: Solve for x
    x = 14,256,664.62/5,973.54
  6. Step 6: Final answer
    x = 2,386.64

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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.