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Finding the Fourth Proportional to 12,083.50, 16,675.28 and 7,051.20

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Solution

The fourth proportional to 12,083.50, 16,675.28 and 7,051.20 is: 9,730.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.50 : 16,675.28 = 7,051.20 : x
  2. Step 2: Convert to fraction form
    12,083.50/16,675.28 = 7,051.20/x
  3. Step 3: Cross multiply
    12,083.50x = 16,675.28 × 7,051.20
  4. Step 4: Simplify right side
    12,083.50x = 117,580,734.34
  5. Step 5: Solve for x
    x = 117,580,734.34/12,083.50
  6. Step 6: Final answer
    x = 9,730.69

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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.