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Finding the Fourth Proportional to 12,184.88, 16,815.15 and 6,595.88

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Solution

The fourth proportional to 12,184.88, 16,815.15 and 6,595.88 is: 9,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.88 : 16,815.15 = 6,595.88 : x
  2. Step 2: Convert to fraction form
    12,184.88/16,815.15 = 6,595.88/x
  3. Step 3: Cross multiply
    12,184.88x = 16,815.15 × 6,595.88
  4. Step 4: Simplify right side
    12,184.88x = 110,910,627.51
  5. Step 5: Solve for x
    x = 110,910,627.51/12,184.88
  6. Step 6: Final answer
    x = 9,102.32

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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.