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Finding the Fourth Proportional to 12,074.63, 16,663.05 and 7,042.34

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Solution

The fourth proportional to 12,074.63, 16,663.05 and 7,042.34 is: 9,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,074.63 : 16,663.05 = 7,042.34 : x
  2. Step 2: Convert to fraction form
    12,074.63/16,663.05 = 7,042.34/x
  3. Step 3: Cross multiply
    12,074.63x = 16,663.05 × 7,042.34
  4. Step 4: Simplify right side
    12,074.63x = 117,346,745.01
  5. Step 5: Solve for x
    x = 117,346,745.01/12,074.63
  6. Step 6: Final answer
    x = 9,718.46

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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.