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Finding the Fourth Proportional to 7,826.65, 10,804.94 and 5,322.13

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Solution

The fourth proportional to 7,826.65, 10,804.94 and 5,322.13 is: 7,347.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.65 : 10,804.94 = 5,322.13 : x
  2. Step 2: Convert to fraction form
    7,826.65/10,804.94 = 5,322.13/x
  3. Step 3: Cross multiply
    7,826.65x = 10,804.94 × 5,322.13
  4. Step 4: Simplify right side
    7,826.65x = 57,505,268.71
  5. Step 5: Solve for x
    x = 57,505,268.71/7,826.65
  6. Step 6: Final answer
    x = 7,347.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.