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Finding the Fourth Proportional to 9,803.58, 14,707.01 and 3,563.92

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Solution

The fourth proportional to 9,803.58, 14,707.01 and 3,563.92 is: 5,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.58 : 14,707.01 = 3,563.92 : x
  2. Step 2: Convert to fraction form
    9,803.58/14,707.01 = 3,563.92/x
  3. Step 3: Cross multiply
    9,803.58x = 14,707.01 × 3,563.92
  4. Step 4: Simplify right side
    9,803.58x = 52,414,607.08
  5. Step 5: Solve for x
    x = 52,414,607.08/9,803.58
  6. Step 6: Final answer
    x = 5,346.48

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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.