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Finding the Fourth Proportional to 4,550.19, 6,830.06 and 4,033.50

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Solution

The fourth proportional to 4,550.19, 6,830.06 and 4,033.50 is: 6,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.19 : 6,830.06 = 4,033.50 : x
  2. Step 2: Convert to fraction form
    4,550.19/6,830.06 = 4,033.50/x
  3. Step 3: Cross multiply
    4,550.19x = 6,830.06 × 4,033.50
  4. Step 4: Simplify right side
    4,550.19x = 27,549,026.84
  5. Step 5: Solve for x
    x = 27,549,026.84/4,550.19
  6. Step 6: Final answer
    x = 6,054.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.