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Finding the Fourth Proportional to 10,571.81, 14,582.93 and 6,540.21

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Solution

The fourth proportional to 10,571.81, 14,582.93 and 6,540.21 is: 9,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,571.81 : 14,582.93 = 6,540.21 : x
  2. Step 2: Convert to fraction form
    10,571.81/14,582.93 = 6,540.21/x
  3. Step 3: Cross multiply
    10,571.81x = 14,582.93 × 6,540.21
  4. Step 4: Simplify right side
    10,571.81x = 95,375,391.91
  5. Step 5: Solve for x
    x = 95,375,391.91/10,571.81
  6. Step 6: Final answer
    x = 9,021.68

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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.