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Finding the Fourth Proportional to 6,514.79, 9,753.44 and 5,838.65

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Solution

The fourth proportional to 6,514.79, 9,753.44 and 5,838.65 is: 8,741.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.79 : 9,753.44 = 5,838.65 : x
  2. Step 2: Convert to fraction form
    6,514.79/9,753.44 = 5,838.65/x
  3. Step 3: Cross multiply
    6,514.79x = 9,753.44 × 5,838.65
  4. Step 4: Simplify right side
    6,514.79x = 56,946,873.69
  5. Step 5: Solve for x
    x = 56,946,873.69/6,514.79
  6. Step 6: Final answer
    x = 8,741.17

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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.