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Finding the Fourth Proportional to 7,775.27, 10,726.50 and 4,941.13

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Solution

The fourth proportional to 7,775.27, 10,726.50 and 4,941.13 is: 6,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.27 : 10,726.50 = 4,941.13 : x
  2. Step 2: Convert to fraction form
    7,775.27/10,726.50 = 4,941.13/x
  3. Step 3: Cross multiply
    7,775.27x = 10,726.50 × 4,941.13
  4. Step 4: Simplify right side
    7,775.27x = 53,001,028.87
  5. Step 5: Solve for x
    x = 53,001,028.87/7,775.27
  6. Step 6: Final answer
    x = 6,816.61

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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.