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Finding the Fourth Proportional to 7,766.54, 11,649.74 and 4,647.41

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Solution

The fourth proportional to 7,766.54, 11,649.74 and 4,647.41 is: 6,971.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.54 : 11,649.74 = 4,647.41 : x
  2. Step 2: Convert to fraction form
    7,766.54/11,649.74 = 4,647.41/x
  3. Step 3: Cross multiply
    7,766.54x = 11,649.74 × 4,647.41
  4. Step 4: Simplify right side
    7,766.54x = 54,141,036.69
  5. Step 5: Solve for x
    x = 54,141,036.69/7,766.54
  6. Step 6: Final answer
    x = 6,971.07

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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.