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Finding the Fourth Proportional to 6,172.34, 9,258.52 and 1,555.34

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Solution

The fourth proportional to 6,172.34, 9,258.52 and 1,555.34 is: 2,333.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.34 : 9,258.52 = 1,555.34 : x
  2. Step 2: Convert to fraction form
    6,172.34/9,258.52 = 1,555.34/x
  3. Step 3: Cross multiply
    6,172.34x = 9,258.52 × 1,555.34
  4. Step 4: Simplify right side
    6,172.34x = 14,400,146.50
  5. Step 5: Solve for x
    x = 14,400,146.50/6,172.34
  6. Step 6: Final answer
    x = 2,333.01

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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.