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Finding the Fourth Proportional to 7,969.84, 10,998.84 and 4,826.32

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Solution

The fourth proportional to 7,969.84, 10,998.84 and 4,826.32 is: 6,660.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,969.84 : 10,998.84 = 4,826.32 : x
  2. Step 2: Convert to fraction form
    7,969.84/10,998.84 = 4,826.32/x
  3. Step 3: Cross multiply
    7,969.84x = 10,998.84 × 4,826.32
  4. Step 4: Simplify right side
    7,969.84x = 53,083,921.47
  5. Step 5: Solve for x
    x = 53,083,921.47/7,969.84
  6. Step 6: Final answer
    x = 6,660.60

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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.