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Finding the Fourth Proportional to 12,095.53, 16,678.34 and 7,613.80

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Solution

The fourth proportional to 12,095.53, 16,678.34 and 7,613.80 is: 10,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,095.53 : 16,678.34 = 7,613.80 : x
  2. Step 2: Convert to fraction form
    12,095.53/16,678.34 = 7,613.80/x
  3. Step 3: Cross multiply
    12,095.53x = 16,678.34 × 7,613.80
  4. Step 4: Simplify right side
    12,095.53x = 126,985,493.88
  5. Step 5: Solve for x
    x = 126,985,493.88/12,095.53
  6. Step 6: Final answer
    x = 10,498.55

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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.