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Finding the Fourth Proportional to 4,927.44, 7,386.24 and 1,804.80

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Solution

The fourth proportional to 4,927.44, 7,386.24 and 1,804.80 is: 2,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,927.44 : 7,386.24 = 1,804.80 : x
  2. Step 2: Convert to fraction form
    4,927.44/7,386.24 = 1,804.80/x
  3. Step 3: Cross multiply
    4,927.44x = 7,386.24 × 1,804.80
  4. Step 4: Simplify right side
    4,927.44x = 13,330,685.95
  5. Step 5: Solve for x
    x = 13,330,685.95/4,927.44
  6. Step 6: Final answer
    x = 2,705.40

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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.