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Finding the Fourth Proportional to 9,695.99, 13,381.10 and 6,514.58

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Solution

The fourth proportional to 9,695.99, 13,381.10 and 6,514.58 is: 8,990.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,695.99 : 13,381.10 = 6,514.58 : x
  2. Step 2: Convert to fraction form
    9,695.99/13,381.10 = 6,514.58/x
  3. Step 3: Cross multiply
    9,695.99x = 13,381.10 × 6,514.58
  4. Step 4: Simplify right side
    9,695.99x = 87,172,246.44
  5. Step 5: Solve for x
    x = 87,172,246.44/9,695.99
  6. Step 6: Final answer
    x = 8,990.55

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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.