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Finding the Fourth Proportional to 6,511.96, 8,985.54 and 3,678.58

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Solution

The fourth proportional to 6,511.96, 8,985.54 and 3,678.58 is: 5,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.96 : 8,985.54 = 3,678.58 : x
  2. Step 2: Convert to fraction form
    6,511.96/8,985.54 = 3,678.58/x
  3. Step 3: Cross multiply
    6,511.96x = 8,985.54 × 3,678.58
  4. Step 4: Simplify right side
    6,511.96x = 33,054,027.73
  5. Step 5: Solve for x
    x = 33,054,027.73/6,511.96
  6. Step 6: Final answer
    x = 5,075.90

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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.