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Finding the Fourth Proportional to 13,813.26, 19,062.44 and 7,525.63

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Solution

The fourth proportional to 13,813.26, 19,062.44 and 7,525.63 is: 10,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.26 : 19,062.44 = 7,525.63 : x
  2. Step 2: Convert to fraction form
    13,813.26/19,062.44 = 7,525.63/x
  3. Step 3: Cross multiply
    13,813.26x = 19,062.44 × 7,525.63
  4. Step 4: Simplify right side
    13,813.26x = 143,456,870.34
  5. Step 5: Solve for x
    x = 143,456,870.34/13,813.26
  6. Step 6: Final answer
    x = 10,385.45

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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.