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Finding the Fourth Proportional to 8,549.87, 11,797.54 and 5,192.10

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Solution

The fourth proportional to 8,549.87, 11,797.54 and 5,192.10 is: 7,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.87 : 11,797.54 = 5,192.10 : x
  2. Step 2: Convert to fraction form
    8,549.87/11,797.54 = 5,192.10/x
  3. Step 3: Cross multiply
    8,549.87x = 11,797.54 × 5,192.10
  4. Step 4: Simplify right side
    8,549.87x = 61,253,994.45
  5. Step 5: Solve for x
    x = 61,253,994.45/8,549.87
  6. Step 6: Final answer
    x = 7,164.32

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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.