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Finding the Fourth Proportional to 6,117.70, 9,169.72 and 4,039.14

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Solution

The fourth proportional to 6,117.70, 9,169.72 and 4,039.14 is: 6,054.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.70 : 9,169.72 = 4,039.14 : x
  2. Step 2: Convert to fraction form
    6,117.70/9,169.72 = 4,039.14/x
  3. Step 3: Cross multiply
    6,117.70x = 9,169.72 × 4,039.14
  4. Step 4: Simplify right side
    6,117.70x = 37,037,782.84
  5. Step 5: Solve for x
    x = 37,037,782.84/6,117.70
  6. Step 6: Final answer
    x = 6,054.20

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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.