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Finding the Fourth Proportional to 6,686.84, 9,228.14 and 3,702.67

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Solution

The fourth proportional to 6,686.84, 9,228.14 and 3,702.67 is: 5,109.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.84 : 9,228.14 = 3,702.67 : x
  2. Step 2: Convert to fraction form
    6,686.84/9,228.14 = 3,702.67/x
  3. Step 3: Cross multiply
    6,686.84x = 9,228.14 × 3,702.67
  4. Step 4: Simplify right side
    6,686.84x = 34,168,762.98
  5. Step 5: Solve for x
    x = 34,168,762.98/6,686.84
  6. Step 6: Final answer
    x = 5,109.85

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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.