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Finding the Fourth Proportional to 7,783.65, 11,727.47 and 7,044.26

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Solution

The fourth proportional to 7,783.65, 11,727.47 and 7,044.26 is: 10,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.65 : 11,727.47 = 7,044.26 : x
  2. Step 2: Convert to fraction form
    7,783.65/11,727.47 = 7,044.26/x
  3. Step 3: Cross multiply
    7,783.65x = 11,727.47 × 7,044.26
  4. Step 4: Simplify right side
    7,783.65x = 82,611,306.80
  5. Step 5: Solve for x
    x = 82,611,306.80/7,783.65
  6. Step 6: Final answer
    x = 10,613.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.