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Finding the Fourth Proportional to 7,574.45, 11,361.65 and 2,309.45

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Solution

The fourth proportional to 7,574.45, 11,361.65 and 2,309.45 is: 3,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,574.45 : 11,361.65 = 2,309.45 : x
  2. Step 2: Convert to fraction form
    7,574.45/11,361.65 = 2,309.45/x
  3. Step 3: Cross multiply
    7,574.45x = 11,361.65 × 2,309.45
  4. Step 4: Simplify right side
    7,574.45x = 26,239,094.24
  5. Step 5: Solve for x
    x = 26,239,094.24/7,574.45
  6. Step 6: Final answer
    x = 3,464.16

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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.