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Finding the Fourth Proportional to 9,563.60, 13,216.02 and 7,201.64

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Solution

The fourth proportional to 9,563.60, 13,216.02 and 7,201.64 is: 9,952.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.60 : 13,216.02 = 7,201.64 : x
  2. Step 2: Convert to fraction form
    9,563.60/13,216.02 = 7,201.64/x
  3. Step 3: Cross multiply
    9,563.60x = 13,216.02 × 7,201.64
  4. Step 4: Simplify right side
    9,563.60x = 95,177,018.27
  5. Step 5: Solve for x
    x = 95,177,018.27/9,563.60
  6. Step 6: Final answer
    x = 9,952.01

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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.