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Finding the Fourth Proportional to 6,651.29, 9,973.88 and 1,969.63

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Solution

The fourth proportional to 6,651.29, 9,973.88 and 1,969.63 is: 2,953.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.29 : 9,973.88 = 1,969.63 : x
  2. Step 2: Convert to fraction form
    6,651.29/9,973.88 = 1,969.63/x
  3. Step 3: Cross multiply
    6,651.29x = 9,973.88 × 1,969.63
  4. Step 4: Simplify right side
    6,651.29x = 19,644,853.26
  5. Step 5: Solve for x
    x = 19,644,853.26/6,651.29
  6. Step 6: Final answer
    x = 2,953.54

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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.