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Finding the Fourth Proportional to 7,106.84, 10,597.63 and 6,614.36

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Solution

The fourth proportional to 7,106.84, 10,597.63 and 6,614.36 is: 9,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,106.84 : 10,597.63 = 6,614.36 : x
  2. Step 2: Convert to fraction form
    7,106.84/10,597.63 = 6,614.36/x
  3. Step 3: Cross multiply
    7,106.84x = 10,597.63 × 6,614.36
  4. Step 4: Simplify right side
    7,106.84x = 70,096,539.97
  5. Step 5: Solve for x
    x = 70,096,539.97/7,106.84
  6. Step 6: Final answer
    x = 9,863.25

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