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Finding the Fourth Proportional to 7,054.46, 9,735.48 and 4,029.85

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Solution

The fourth proportional to 7,054.46, 9,735.48 and 4,029.85 is: 5,561.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.46 : 9,735.48 = 4,029.85 : x
  2. Step 2: Convert to fraction form
    7,054.46/9,735.48 = 4,029.85/x
  3. Step 3: Cross multiply
    7,054.46x = 9,735.48 × 4,029.85
  4. Step 4: Simplify right side
    7,054.46x = 39,232,524.08
  5. Step 5: Solve for x
    x = 39,232,524.08/7,054.46
  6. Step 6: Final answer
    x = 5,561.38

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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.