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Finding the Fourth Proportional to 9,782.56, 13,499.08 and 5,803.03

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Solution

The fourth proportional to 9,782.56, 13,499.08 and 5,803.03 is: 8,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.56 : 13,499.08 = 5,803.03 : x
  2. Step 2: Convert to fraction form
    9,782.56/13,499.08 = 5,803.03/x
  3. Step 3: Cross multiply
    9,782.56x = 13,499.08 × 5,803.03
  4. Step 4: Simplify right side
    9,782.56x = 78,335,566.21
  5. Step 5: Solve for x
    x = 78,335,566.21/9,782.56
  6. Step 6: Final answer
    x = 8,007.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.