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Finding the Fourth Proportional to 9,765.75, 14,649.03 and 2,840.25

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Solution

The fourth proportional to 9,765.75, 14,649.03 and 2,840.25 is: 4,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.75 : 14,649.03 = 2,840.25 : x
  2. Step 2: Convert to fraction form
    9,765.75/14,649.03 = 2,840.25/x
  3. Step 3: Cross multiply
    9,765.75x = 14,649.03 × 2,840.25
  4. Step 4: Simplify right side
    9,765.75x = 41,606,907.46
  5. Step 5: Solve for x
    x = 41,606,907.46/9,765.75
  6. Step 6: Final answer
    x = 4,260.49

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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.