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Finding the Fourth Proportional to 6,322.44, 9,409 and 6,112.22

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Solution

The fourth proportional to 6,322.44, 9,409 and 6,112.22 is: 9,096.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.44 : 9,409 = 6,112.22 : x
  2. Step 2: Convert to fraction form
    6,322.44/9,409 = 6,112.22/x
  3. Step 3: Cross multiply
    6,322.44x = 9,409 × 6,112.22
  4. Step 4: Simplify right side
    6,322.44x = 57,509,877.98
  5. Step 5: Solve for x
    x = 57,509,877.98/6,322.44
  6. Step 6: Final answer
    x = 9,096.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.