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Finding the Fourth Proportional to 7,773.45, 10,723.68 and 5,256.45

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Solution

The fourth proportional to 7,773.45, 10,723.68 and 5,256.45 is: 7,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,773.45 : 10,723.68 = 5,256.45 : x
  2. Step 2: Convert to fraction form
    7,773.45/10,723.68 = 5,256.45/x
  3. Step 3: Cross multiply
    7,773.45x = 10,723.68 × 5,256.45
  4. Step 4: Simplify right side
    7,773.45x = 56,368,487.74
  5. Step 5: Solve for x
    x = 56,368,487.74/7,773.45
  6. Step 6: Final answer
    x = 7,251.41

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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.