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Finding the Fourth Proportional to 8,569.46, 12,858.01 and 5,448.63

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Solution

The fourth proportional to 8,569.46, 12,858.01 and 5,448.63 is: 8,175.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.46 : 12,858.01 = 5,448.63 : x
  2. Step 2: Convert to fraction form
    8,569.46/12,858.01 = 5,448.63/x
  3. Step 3: Cross multiply
    8,569.46x = 12,858.01 × 5,448.63
  4. Step 4: Simplify right side
    8,569.46x = 70,058,573.62
  5. Step 5: Solve for x
    x = 70,058,573.62/8,569.46
  6. Step 6: Final answer
    x = 8,175.38

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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.