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Finding the Fourth Proportional to 9,969.68, 14,952.26 and 2,950.22

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Solution

The fourth proportional to 9,969.68, 14,952.26 and 2,950.22 is: 4,424.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.68 : 14,952.26 = 2,950.22 : x
  2. Step 2: Convert to fraction form
    9,969.68/14,952.26 = 2,950.22/x
  3. Step 3: Cross multiply
    9,969.68x = 14,952.26 × 2,950.22
  4. Step 4: Simplify right side
    9,969.68x = 44,112,501.25
  5. Step 5: Solve for x
    x = 44,112,501.25/9,969.68
  6. Step 6: Final answer
    x = 4,424.66

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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.