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Finding the Fourth Proportional to 7,334.20, 11,005.98 and 6,848.20

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Solution

The fourth proportional to 7,334.20, 11,005.98 and 6,848.20 is: 10,276.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,334.20 : 11,005.98 = 6,848.20 : x
  2. Step 2: Convert to fraction form
    7,334.20/11,005.98 = 6,848.20/x
  3. Step 3: Cross multiply
    7,334.20x = 11,005.98 × 6,848.20
  4. Step 4: Simplify right side
    7,334.20x = 75,371,152.24
  5. Step 5: Solve for x
    x = 75,371,152.24/7,334.20
  6. Step 6: Final answer
    x = 10,276.67

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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.