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Finding the Fourth Proportional to 10,613.98, 14,654.10 and 6,838.66

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Solution

The fourth proportional to 10,613.98, 14,654.10 and 6,838.66 is: 9,441.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.98 : 14,654.10 = 6,838.66 : x
  2. Step 2: Convert to fraction form
    10,613.98/14,654.10 = 6,838.66/x
  3. Step 3: Cross multiply
    10,613.98x = 14,654.10 × 6,838.66
  4. Step 4: Simplify right side
    10,613.98x = 100,214,407.51
  5. Step 5: Solve for x
    x = 100,214,407.51/10,613.98
  6. Step 6: Final answer
    x = 9,441.74

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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.