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Finding the Fourth Proportional to 9,877.97, 14,797.41 and 5,190.98

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Solution

The fourth proportional to 9,877.97, 14,797.41 and 5,190.98 is: 7,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.97 : 14,797.41 = 5,190.98 : x
  2. Step 2: Convert to fraction form
    9,877.97/14,797.41 = 5,190.98/x
  3. Step 3: Cross multiply
    9,877.97x = 14,797.41 × 5,190.98
  4. Step 4: Simplify right side
    9,877.97x = 76,812,985.37
  5. Step 5: Solve for x
    x = 76,812,985.37/9,877.97
  6. Step 6: Final answer
    x = 7,776.20

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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.