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Finding the Fourth Proportional to 9,804.14, 13,529.64 and 5,327.88

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Solution

The fourth proportional to 9,804.14, 13,529.64 and 5,327.88 is: 7,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.14 : 13,529.64 = 5,327.88 : x
  2. Step 2: Convert to fraction form
    9,804.14/13,529.64 = 5,327.88/x
  3. Step 3: Cross multiply
    9,804.14x = 13,529.64 × 5,327.88
  4. Step 4: Simplify right side
    9,804.14x = 72,084,298.36
  5. Step 5: Solve for x
    x = 72,084,298.36/9,804.14
  6. Step 6: Final answer
    x = 7,352.43

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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.