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Finding the Fourth Proportional to 6,730.94, 9,289.10 and 3,746.70

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Solution

The fourth proportional to 6,730.94, 9,289.10 and 3,746.70 is: 5,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.94 : 9,289.10 = 3,746.70 : x
  2. Step 2: Convert to fraction form
    6,730.94/9,289.10 = 3,746.70/x
  3. Step 3: Cross multiply
    6,730.94x = 9,289.10 × 3,746.70
  4. Step 4: Simplify right side
    6,730.94x = 34,803,480.34
  5. Step 5: Solve for x
    x = 34,803,480.34/6,730.94
  6. Step 6: Final answer
    x = 5,170.67

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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.