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Finding the Fourth Proportional to 6,443.70, 9,643.95 and 4,499.70

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Solution

The fourth proportional to 6,443.70, 9,643.95 and 4,499.70 is: 6,734.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.70 : 9,643.95 = 4,499.70 : x
  2. Step 2: Convert to fraction form
    6,443.70/9,643.95 = 4,499.70/x
  3. Step 3: Cross multiply
    6,443.70x = 9,643.95 × 4,499.70
  4. Step 4: Simplify right side
    6,443.70x = 43,394,881.82
  5. Step 5: Solve for x
    x = 43,394,881.82/6,443.70
  6. Step 6: Final answer
    x = 6,734.47

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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.