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Finding the Fourth Proportional to 4,937.93, 7,406.90 and 1,977.72

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Solution

The fourth proportional to 4,937.93, 7,406.90 and 1,977.72 is: 2,966.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,937.93 : 7,406.90 = 1,977.72 : x
  2. Step 2: Convert to fraction form
    4,937.93/7,406.90 = 1,977.72/x
  3. Step 3: Cross multiply
    4,937.93x = 7,406.90 × 1,977.72
  4. Step 4: Simplify right side
    4,937.93x = 14,648,771.80
  5. Step 5: Solve for x
    x = 14,648,771.80/4,937.93
  6. Step 6: Final answer
    x = 2,966.58

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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.