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Finding the Fourth Proportional to 6,544.75, 9,818.93 and 1,927.75

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Solution

The fourth proportional to 6,544.75, 9,818.93 and 1,927.75 is: 2,892.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.75 : 9,818.93 = 1,927.75 : x
  2. Step 2: Convert to fraction form
    6,544.75/9,818.93 = 1,927.75/x
  3. Step 3: Cross multiply
    6,544.75x = 9,818.93 × 1,927.75
  4. Step 4: Simplify right side
    6,544.75x = 18,928,442.31
  5. Step 5: Solve for x
    x = 18,928,442.31/6,544.75
  6. Step 6: Final answer
    x = 2,892.16

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1.5x scale

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.