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Finding the Fourth Proportional to 7,976.04, 11,009.44 and 6,482.82

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Solution

The fourth proportional to 7,976.04, 11,009.44 and 6,482.82 is: 8,948.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,976.04 : 11,009.44 = 6,482.82 : x
  2. Step 2: Convert to fraction form
    7,976.04/11,009.44 = 6,482.82/x
  3. Step 3: Cross multiply
    7,976.04x = 11,009.44 × 6,482.82
  4. Step 4: Simplify right side
    7,976.04x = 71,372,217.82
  5. Step 5: Solve for x
    x = 71,372,217.82/7,976.04
  6. Step 6: Final answer
    x = 8,948.33

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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.