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Finding the Fourth Proportional to 7,000.94, 10,498.68 and 3,102.62

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Solution

The fourth proportional to 7,000.94, 10,498.68 and 3,102.62 is: 4,652.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.94 : 10,498.68 = 3,102.62 : x
  2. Step 2: Convert to fraction form
    7,000.94/10,498.68 = 3,102.62/x
  3. Step 3: Cross multiply
    7,000.94x = 10,498.68 × 3,102.62
  4. Step 4: Simplify right side
    7,000.94x = 32,573,362.05
  5. Step 5: Solve for x
    x = 32,573,362.05/7,000.94
  6. Step 6: Final answer
    x = 4,652.71

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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.