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Finding the Fourth Proportional to 7,763.56, 11,647.50 and 4,303.24

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Solution

The fourth proportional to 7,763.56, 11,647.50 and 4,303.24 is: 6,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763.56 : 11,647.50 = 4,303.24 : x
  2. Step 2: Convert to fraction form
    7,763.56/11,647.50 = 4,303.24/x
  3. Step 3: Cross multiply
    7,763.56x = 11,647.50 × 4,303.24
  4. Step 4: Simplify right side
    7,763.56x = 50,121,987.90
  5. Step 5: Solve for x
    x = 50,121,987.90/7,763.56
  6. Step 6: Final answer
    x = 6,456.06

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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.