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Finding the Fourth Proportional to 9,765.03, 14,647.74 and 3,525.51

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Solution

The fourth proportional to 9,765.03, 14,647.74 and 3,525.51 is: 5,288.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.03 : 14,647.74 = 3,525.51 : x
  2. Step 2: Convert to fraction form
    9,765.03/14,647.74 = 3,525.51/x
  3. Step 3: Cross multiply
    9,765.03x = 14,647.74 × 3,525.51
  4. Step 4: Simplify right side
    9,765.03x = 51,640,753.85
  5. Step 5: Solve for x
    x = 51,640,753.85/9,765.03
  6. Step 6: Final answer
    x = 5,288.34

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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.