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Finding the Fourth Proportional to 7,057.76, 9,734.80 and 6,826.08

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Solution

The fourth proportional to 7,057.76, 9,734.80 and 6,826.08 is: 9,415.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.76 : 9,734.80 = 6,826.08 : x
  2. Step 2: Convert to fraction form
    7,057.76/9,734.80 = 6,826.08/x
  3. Step 3: Cross multiply
    7,057.76x = 9,734.80 × 6,826.08
  4. Step 4: Simplify right side
    7,057.76x = 66,450,523.58
  5. Step 5: Solve for x
    x = 66,450,523.58/7,057.76
  6. Step 6: Final answer
    x = 9,415.24

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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.