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Finding the Fourth Proportional to 12,703.43, 17,530.77 and 7,114.43

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Solution

The fourth proportional to 12,703.43, 17,530.77 and 7,114.43 is: 9,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.43 : 17,530.77 = 7,114.43 : x
  2. Step 2: Convert to fraction form
    12,703.43/17,530.77 = 7,114.43/x
  3. Step 3: Cross multiply
    12,703.43x = 17,530.77 × 7,114.43
  4. Step 4: Simplify right side
    12,703.43x = 124,721,436.01
  5. Step 5: Solve for x
    x = 124,721,436.01/12,703.43
  6. Step 6: Final answer
    x = 9,817.93

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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.