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Finding the Fourth Proportional to 8,734.80, 12,055.02 and 5,198.01

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Solution

The fourth proportional to 8,734.80, 12,055.02 and 5,198.01 is: 7,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,734.80 : 12,055.02 = 5,198.01 : x
  2. Step 2: Convert to fraction form
    8,734.80/12,055.02 = 5,198.01/x
  3. Step 3: Cross multiply
    8,734.80x = 12,055.02 × 5,198.01
  4. Step 4: Simplify right side
    8,734.80x = 62,662,114.51
  5. Step 5: Solve for x
    x = 62,662,114.51/8,734.80
  6. Step 6: Final answer
    x = 7,173.85

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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.