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Finding the Fourth Proportional to 4,947.94, 7,421.91 and 2,024.25

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Solution

The fourth proportional to 4,947.94, 7,421.91 and 2,024.25 is: 3,036.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.94 : 7,421.91 = 2,024.25 : x
  2. Step 2: Convert to fraction form
    4,947.94/7,421.91 = 2,024.25/x
  3. Step 3: Cross multiply
    4,947.94x = 7,421.91 × 2,024.25
  4. Step 4: Simplify right side
    4,947.94x = 15,023,801.32
  5. Step 5: Solve for x
    x = 15,023,801.32/4,947.94
  6. Step 6: Final answer
    x = 3,036.38

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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.