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Finding the Fourth Proportional to 12,573.88, 17,352.93 and 7,538.32

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Solution

The fourth proportional to 12,573.88, 17,352.93 and 7,538.32 is: 10,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,573.88 : 17,352.93 = 7,538.32 : x
  2. Step 2: Convert to fraction form
    12,573.88/17,352.93 = 7,538.32/x
  3. Step 3: Cross multiply
    12,573.88x = 17,352.93 × 7,538.32
  4. Step 4: Simplify right side
    12,573.88x = 130,811,891.63
  5. Step 5: Solve for x
    x = 130,811,891.63/12,573.88
  6. Step 6: Final answer
    x = 10,403.46

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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.