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Finding the Fourth Proportional to 6,152.14, 9,269.73 and 5,080.51

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Solution

The fourth proportional to 6,152.14, 9,269.73 and 5,080.51 is: 7,655.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.14 : 9,269.73 = 5,080.51 : x
  2. Step 2: Convert to fraction form
    6,152.14/9,269.73 = 5,080.51/x
  3. Step 3: Cross multiply
    6,152.14x = 9,269.73 × 5,080.51
  4. Step 4: Simplify right side
    6,152.14x = 47,094,955.96
  5. Step 5: Solve for x
    x = 47,094,955.96/6,152.14
  6. Step 6: Final answer
    x = 7,655.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.