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Finding the Fourth Proportional to 7,002.77, 9,664.16 and 3,858.95

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Solution

The fourth proportional to 7,002.77, 9,664.16 and 3,858.95 is: 5,325.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.77 : 9,664.16 = 3,858.95 : x
  2. Step 2: Convert to fraction form
    7,002.77/9,664.16 = 3,858.95/x
  3. Step 3: Cross multiply
    7,002.77x = 9,664.16 × 3,858.95
  4. Step 4: Simplify right side
    7,002.77x = 37,293,515.10
  5. Step 5: Solve for x
    x = 37,293,515.10/7,002.77
  6. Step 6: Final answer
    x = 5,325.54

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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.