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Finding the Fourth Proportional to 6,846.48, 9,448.14 and 3,702.66

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Solution

The fourth proportional to 6,846.48, 9,448.14 and 3,702.66 is: 5,109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846.48 : 9,448.14 = 3,702.66 : x
  2. Step 2: Convert to fraction form
    6,846.48/9,448.14 = 3,702.66/x
  3. Step 3: Cross multiply
    6,846.48x = 9,448.14 × 3,702.66
  4. Step 4: Simplify right side
    6,846.48x = 34,983,250.05
  5. Step 5: Solve for x
    x = 34,983,250.05/6,846.48
  6. Step 6: Final answer
    x = 5,109.67

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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.