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Finding the Fourth Proportional to 7,051, 10,577.10 and 1,856.89

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Solution

The fourth proportional to 7,051, 10,577.10 and 1,856.89 is: 2,785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051 : 10,577.10 = 1,856.89 : x
  2. Step 2: Convert to fraction form
    7,051/10,577.10 = 1,856.89/x
  3. Step 3: Cross multiply
    7,051x = 10,577.10 × 1,856.89
  4. Step 4: Simplify right side
    7,051x = 19,640,511.22
  5. Step 5: Solve for x
    x = 19,640,511.22/7,051
  6. Step 6: Final answer
    x = 2,785.49

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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.