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Finding the Fourth Proportional to 9,967.50, 14,952.12 and 2,571.90

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Solution

The fourth proportional to 9,967.50, 14,952.12 and 2,571.90 is: 3,858.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.50 : 14,952.12 = 2,571.90 : x
  2. Step 2: Convert to fraction form
    9,967.50/14,952.12 = 2,571.90/x
  3. Step 3: Cross multiply
    9,967.50x = 14,952.12 × 2,571.90
  4. Step 4: Simplify right side
    9,967.50x = 38,455,357.43
  5. Step 5: Solve for x
    x = 38,455,357.43/9,967.50
  6. Step 6: Final answer
    x = 3,858.07

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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.