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Finding the Fourth Proportional to 7,029.70, 9,700.98 and 4,046.14

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Solution

The fourth proportional to 7,029.70, 9,700.98 and 4,046.14 is: 5,583.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.70 : 9,700.98 = 4,046.14 : x
  2. Step 2: Convert to fraction form
    7,029.70/9,700.98 = 4,046.14/x
  3. Step 3: Cross multiply
    7,029.70x = 9,700.98 × 4,046.14
  4. Step 4: Simplify right side
    7,029.70x = 39,251,523.22
  5. Step 5: Solve for x
    x = 39,251,523.22/7,029.70
  6. Step 6: Final answer
    x = 5,583.67

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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.