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Finding the Fourth Proportional to 7,812.56, 10,781.22 and 4,275.72

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Solution

The fourth proportional to 7,812.56, 10,781.22 and 4,275.72 is: 5,900.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.56 : 10,781.22 = 4,275.72 : x
  2. Step 2: Convert to fraction form
    7,812.56/10,781.22 = 4,275.72/x
  3. Step 3: Cross multiply
    7,812.56x = 10,781.22 × 4,275.72
  4. Step 4: Simplify right side
    7,812.56x = 46,097,477.98
  5. Step 5: Solve for x
    x = 46,097,477.98/7,812.56
  6. Step 6: Final answer
    x = 5,900.43

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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.