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Finding the Fourth Proportional to 6,038.96, 9,056.22 and 2,089.22

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Solution

The fourth proportional to 6,038.96, 9,056.22 and 2,089.22 is: 3,133.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.96 : 9,056.22 = 2,089.22 : x
  2. Step 2: Convert to fraction form
    6,038.96/9,056.22 = 2,089.22/x
  3. Step 3: Cross multiply
    6,038.96x = 9,056.22 × 2,089.22
  4. Step 4: Simplify right side
    6,038.96x = 18,920,435.95
  5. Step 5: Solve for x
    x = 18,920,435.95/6,038.96
  6. Step 6: Final answer
    x = 3,133.06

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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.