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Finding the Fourth Proportional to 8,002.70, 12,000.45 and 3,070.70

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Solution

The fourth proportional to 8,002.70, 12,000.45 and 3,070.70 is: 4,604.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.70 : 12,000.45 = 3,070.70 : x
  2. Step 2: Convert to fraction form
    8,002.70/12,000.45 = 3,070.70/x
  3. Step 3: Cross multiply
    8,002.70x = 12,000.45 × 3,070.70
  4. Step 4: Simplify right side
    8,002.70x = 36,849,781.82
  5. Step 5: Solve for x
    x = 36,849,781.82/8,002.70
  6. Step 6: Final answer
    x = 4,604.67

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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.