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Finding the Fourth Proportional to 12,573.63, 17,349.71 and 7,195.21

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Solution

The fourth proportional to 12,573.63, 17,349.71 and 7,195.21 is: 9,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.63 : 17,349.71 = 7,195.21 : x
  2. Step 2: Convert to fraction form
    12,573.63/17,349.71 = 7,195.21/x
  3. Step 3: Cross multiply
    12,573.63x = 17,349.71 × 7,195.21
  4. Step 4: Simplify right side
    12,573.63x = 124,834,727.54
  5. Step 5: Solve for x
    x = 124,834,727.54/12,573.63
  6. Step 6: Final answer
    x = 9,928.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.