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Finding the Fourth Proportional to 7,866.77, 10,855.94 and 4,681.44

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Solution

The fourth proportional to 7,866.77, 10,855.94 and 4,681.44 is: 6,460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.77 : 10,855.94 = 4,681.44 : x
  2. Step 2: Convert to fraction form
    7,866.77/10,855.94 = 4,681.44/x
  3. Step 3: Cross multiply
    7,866.77x = 10,855.94 × 4,681.44
  4. Step 4: Simplify right side
    7,866.77x = 50,821,408.35
  5. Step 5: Solve for x
    x = 50,821,408.35/7,866.77
  6. Step 6: Final answer
    x = 6,460.27

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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.