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Finding the Fourth Proportional to 9,604.16, 14,410.08 and 3,448.64

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Solution

The fourth proportional to 9,604.16, 14,410.08 and 3,448.64 is: 5,174.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.16 : 14,410.08 = 3,448.64 : x
  2. Step 2: Convert to fraction form
    9,604.16/14,410.08 = 3,448.64/x
  3. Step 3: Cross multiply
    9,604.16x = 14,410.08 × 3,448.64
  4. Step 4: Simplify right side
    9,604.16x = 49,695,178.29
  5. Step 5: Solve for x
    x = 49,695,178.29/9,604.16
  6. Step 6: Final answer
    x = 5,174.34

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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.