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Finding the Fourth Proportional to 7,804.44, 11,700.18 and 3,642.26

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Solution

The fourth proportional to 7,804.44, 11,700.18 and 3,642.26 is: 5,460.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804.44 : 11,700.18 = 3,642.26 : x
  2. Step 2: Convert to fraction form
    7,804.44/11,700.18 = 3,642.26/x
  3. Step 3: Cross multiply
    7,804.44x = 11,700.18 × 3,642.26
  4. Step 4: Simplify right side
    7,804.44x = 42,615,039.11
  5. Step 5: Solve for x
    x = 42,615,039.11/7,804.44
  6. Step 6: Final answer
    x = 5,460.36

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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.