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Finding the Fourth Proportional to 6,602.56, 9,111.48 and 3,808

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Solution

The fourth proportional to 6,602.56, 9,111.48 and 3,808 is: 5,255.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.56 : 9,111.48 = 3,808 : x
  2. Step 2: Convert to fraction form
    6,602.56/9,111.48 = 3,808/x
  3. Step 3: Cross multiply
    6,602.56x = 9,111.48 × 3,808
  4. Step 4: Simplify right side
    6,602.56x = 34,696,515.84
  5. Step 5: Solve for x
    x = 34,696,515.84/6,602.56
  6. Step 6: Final answer
    x = 5,255.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.