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Finding the Fourth Proportional to 6,137.68, 9,205.23 and 1,978.06

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Solution

The fourth proportional to 6,137.68, 9,205.23 and 1,978.06 is: 2,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.68 : 9,205.23 = 1,978.06 : x
  2. Step 2: Convert to fraction form
    6,137.68/9,205.23 = 1,978.06/x
  3. Step 3: Cross multiply
    6,137.68x = 9,205.23 × 1,978.06
  4. Step 4: Simplify right side
    6,137.68x = 18,208,497.25
  5. Step 5: Solve for x
    x = 18,208,497.25/6,137.68
  6. Step 6: Final answer
    x = 2,966.67

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1.5x scale

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.