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Finding the Fourth Proportional to 6,034.62, 9,051.93 and 1,652.11

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Solution

The fourth proportional to 6,034.62, 9,051.93 and 1,652.11 is: 2,478.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.62 : 9,051.93 = 1,652.11 : x
  2. Step 2: Convert to fraction form
    6,034.62/9,051.93 = 1,652.11/x
  3. Step 3: Cross multiply
    6,034.62x = 9,051.93 × 1,652.11
  4. Step 4: Simplify right side
    6,034.62x = 14,954,784.07
  5. Step 5: Solve for x
    x = 14,954,784.07/6,034.62
  6. Step 6: Final answer
    x = 2,478.17

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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.