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Finding the Fourth Proportional to 7,776.71, 10,723.39 and 5,254.44

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Solution

The fourth proportional to 7,776.71, 10,723.39 and 5,254.44 is: 7,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.71 : 10,723.39 = 5,254.44 : x
  2. Step 2: Convert to fraction form
    7,776.71/10,723.39 = 5,254.44/x
  3. Step 3: Cross multiply
    7,776.71x = 10,723.39 × 5,254.44
  4. Step 4: Simplify right side
    7,776.71x = 56,345,409.35
  5. Step 5: Solve for x
    x = 56,345,409.35/7,776.71
  6. Step 6: Final answer
    x = 7,245.40

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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.