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Finding the Fourth Proportional to 7,762.95, 11,646.23 and 2,216.37

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Solution

The fourth proportional to 7,762.95, 11,646.23 and 2,216.37 is: 3,325.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.95 : 11,646.23 = 2,216.37 : x
  2. Step 2: Convert to fraction form
    7,762.95/11,646.23 = 2,216.37/x
  3. Step 3: Cross multiply
    7,762.95x = 11,646.23 × 2,216.37
  4. Step 4: Simplify right side
    7,762.95x = 25,812,360.33
  5. Step 5: Solve for x
    x = 25,812,360.33/7,762.95
  6. Step 6: Final answer
    x = 3,325.07

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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.