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Finding the Fourth Proportional to 12,950.32, 19,423.86 and 4,184.32

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Solution

The fourth proportional to 12,950.32, 19,423.86 and 4,184.32 is: 6,275.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,950.32 : 19,423.86 = 4,184.32 : x
  2. Step 2: Convert to fraction form
    12,950.32/19,423.86 = 4,184.32/x
  3. Step 3: Cross multiply
    12,950.32x = 19,423.86 × 4,184.32
  4. Step 4: Simplify right side
    12,950.32x = 81,275,645.88
  5. Step 5: Solve for x
    x = 81,275,645.88/12,950.32
  6. Step 6: Final answer
    x = 6,275.96

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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.