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Finding the Fourth Proportional to 6,730.99, 9,288.52 and 3,746.95

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Solution

The fourth proportional to 6,730.99, 9,288.52 and 3,746.95 is: 5,170.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.99 : 9,288.52 = 3,746.95 : x
  2. Step 2: Convert to fraction form
    6,730.99/9,288.52 = 3,746.95/x
  3. Step 3: Cross multiply
    6,730.99x = 9,288.52 × 3,746.95
  4. Step 4: Simplify right side
    6,730.99x = 34,803,620.01
  5. Step 5: Solve for x
    x = 34,803,620.01/6,730.99
  6. Step 6: Final answer
    x = 5,170.65

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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.