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Finding the Fourth Proportional to 7,735.69, 10,675.10 and 4,378.44

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Solution

The fourth proportional to 7,735.69, 10,675.10 and 4,378.44 is: 6,042.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.69 : 10,675.10 = 4,378.44 : x
  2. Step 2: Convert to fraction form
    7,735.69/10,675.10 = 4,378.44/x
  3. Step 3: Cross multiply
    7,735.69x = 10,675.10 × 4,378.44
  4. Step 4: Simplify right side
    7,735.69x = 46,740,284.84
  5. Step 5: Solve for x
    x = 46,740,284.84/7,735.69
  6. Step 6: Final answer
    x = 6,042.16

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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.