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Finding the Fourth Proportional to 6,696, 10,055.34 and 4,359.96

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Solution

The fourth proportional to 6,696, 10,055.34 and 4,359.96 is: 6,547.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,696 : 10,055.34 = 4,359.96 : x
  2. Step 2: Convert to fraction form
    6,696/10,055.34 = 4,359.96/x
  3. Step 3: Cross multiply
    6,696x = 10,055.34 × 4,359.96
  4. Step 4: Simplify right side
    6,696x = 43,840,880.19
  5. Step 5: Solve for x
    x = 43,840,880.19/6,696
  6. Step 6: Final answer
    x = 6,547.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.