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Finding the Fourth Proportional to 7,762.68, 11,642.94 and 2,498.22

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Solution

The fourth proportional to 7,762.68, 11,642.94 and 2,498.22 is: 3,746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.68 : 11,642.94 = 2,498.22 : x
  2. Step 2: Convert to fraction form
    7,762.68/11,642.94 = 2,498.22/x
  3. Step 3: Cross multiply
    7,762.68x = 11,642.94 × 2,498.22
  4. Step 4: Simplify right side
    7,762.68x = 29,086,625.57
  5. Step 5: Solve for x
    x = 29,086,625.57/7,762.68
  6. Step 6: Final answer
    x = 3,746.98

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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.