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Finding the Fourth Proportional to 12,675.82, 19,030.98 and 7,133.08

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Solution

The fourth proportional to 12,675.82, 19,030.98 and 7,133.08 is: 10,709.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,675.82 : 19,030.98 = 7,133.08 : x
  2. Step 2: Convert to fraction form
    12,675.82/19,030.98 = 7,133.08/x
  3. Step 3: Cross multiply
    12,675.82x = 19,030.98 × 7,133.08
  4. Step 4: Simplify right side
    12,675.82x = 135,749,502.82
  5. Step 5: Solve for x
    x = 135,749,502.82/12,675.82
  6. Step 6: Final answer
    x = 10,709.33

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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.