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Finding the Fourth Proportional to 6,907.77, 10,336.14 and 4,136.40

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Solution

The fourth proportional to 6,907.77, 10,336.14 and 4,136.40 is: 6,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.77 : 10,336.14 = 4,136.40 : x
  2. Step 2: Convert to fraction form
    6,907.77/10,336.14 = 4,136.40/x
  3. Step 3: Cross multiply
    6,907.77x = 10,336.14 × 4,136.40
  4. Step 4: Simplify right side
    6,907.77x = 42,754,409.50
  5. Step 5: Solve for x
    x = 42,754,409.50/6,907.77
  6. Step 6: Final answer
    x = 6,189.32

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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.