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Finding the Fourth Proportional to 4,560.99, 6,858.09 and 4,200.14

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Solution

The fourth proportional to 4,560.99, 6,858.09 and 4,200.14 is: 6,315.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,560.99 : 6,858.09 = 4,200.14 : x
  2. Step 2: Convert to fraction form
    4,560.99/6,858.09 = 4,200.14/x
  3. Step 3: Cross multiply
    4,560.99x = 6,858.09 × 4,200.14
  4. Step 4: Simplify right side
    4,560.99x = 28,804,903.84
  5. Step 5: Solve for x
    x = 28,804,903.84/4,560.99
  6. Step 6: Final answer
    x = 6,315.49

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Half scale
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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.