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Finding the Fourth Proportional to 16,602.60, 24,910.58 and 6,742.65

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Solution

The fourth proportional to 16,602.60, 24,910.58 and 6,742.65 is: 10,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,602.60 : 24,910.58 = 6,742.65 : x
  2. Step 2: Convert to fraction form
    16,602.60/24,910.58 = 6,742.65/x
  3. Step 3: Cross multiply
    16,602.60x = 24,910.58 × 6,742.65
  4. Step 4: Simplify right side
    16,602.60x = 167,963,288.52
  5. Step 5: Solve for x
    x = 167,963,288.52/16,602.60
  6. Step 6: Final answer
    x = 10,116.69

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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.