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Finding the Fourth Proportional to 7,812.44, 11,701.22 and 6,045.41

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Solution

The fourth proportional to 7,812.44, 11,701.22 and 6,045.41 is: 9,054.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.44 : 11,701.22 = 6,045.41 : x
  2. Step 2: Convert to fraction form
    7,812.44/11,701.22 = 6,045.41/x
  3. Step 3: Cross multiply
    7,812.44x = 11,701.22 × 6,045.41
  4. Step 4: Simplify right side
    7,812.44x = 70,738,642.17
  5. Step 5: Solve for x
    x = 70,738,642.17/7,812.44
  6. Step 6: Final answer
    x = 9,054.62

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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.