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Finding the Fourth Proportional to 9,382.25, 12,947.75 and 5,656.49

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Solution

The fourth proportional to 9,382.25, 12,947.75 and 5,656.49 is: 7,806.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.25 : 12,947.75 = 5,656.49 : x
  2. Step 2: Convert to fraction form
    9,382.25/12,947.75 = 5,656.49/x
  3. Step 3: Cross multiply
    9,382.25x = 12,947.75 × 5,656.49
  4. Step 4: Simplify right side
    9,382.25x = 73,238,804.26
  5. Step 5: Solve for x
    x = 73,238,804.26/9,382.25
  6. Step 6: Final answer
    x = 7,806.10

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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.