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Finding the Fourth Proportional to 9,892, 14,834.96 and 6,514.64

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Solution

The fourth proportional to 9,892, 14,834.96 and 6,514.64 is: 9,769.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892 : 14,834.96 = 6,514.64 : x
  2. Step 2: Convert to fraction form
    9,892/14,834.96 = 6,514.64/x
  3. Step 3: Cross multiply
    9,892x = 14,834.96 × 6,514.64
  4. Step 4: Simplify right side
    9,892x = 96,644,423.81
  5. Step 5: Solve for x
    x = 96,644,423.81/9,892
  6. Step 6: Final answer
    x = 9,769.96

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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.