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Finding the Fourth Proportional to 6,101.75, 9,152.72 and 1,719.32

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Solution

The fourth proportional to 6,101.75, 9,152.72 and 1,719.32 is: 2,579.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.75 : 9,152.72 = 1,719.32 : x
  2. Step 2: Convert to fraction form
    6,101.75/9,152.72 = 1,719.32/x
  3. Step 3: Cross multiply
    6,101.75x = 9,152.72 × 1,719.32
  4. Step 4: Simplify right side
    6,101.75x = 15,736,400.19
  5. Step 5: Solve for x
    x = 15,736,400.19/6,101.75
  6. Step 6: Final answer
    x = 2,579.00

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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.