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Finding the Fourth Proportional to 7,775.79, 10,729.52 and 4,589.22

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Solution

The fourth proportional to 7,775.79, 10,729.52 and 4,589.22 is: 6,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.79 : 10,729.52 = 4,589.22 : x
  2. Step 2: Convert to fraction form
    7,775.79/10,729.52 = 4,589.22/x
  3. Step 3: Cross multiply
    7,775.79x = 10,729.52 × 4,589.22
  4. Step 4: Simplify right side
    7,775.79x = 49,240,162.27
  5. Step 5: Solve for x
    x = 49,240,162.27/7,775.79
  6. Step 6: Final answer
    x = 6,332.49

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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.