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Finding the Fourth Proportional to 7,944.62, 10,968.62 and 5,113.06

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Solution

The fourth proportional to 7,944.62, 10,968.62 and 5,113.06 is: 7,059.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.62 : 10,968.62 = 5,113.06 : x
  2. Step 2: Convert to fraction form
    7,944.62/10,968.62 = 5,113.06/x
  3. Step 3: Cross multiply
    7,944.62x = 10,968.62 × 5,113.06
  4. Step 4: Simplify right side
    7,944.62x = 56,083,159.19
  5. Step 5: Solve for x
    x = 56,083,159.19/7,944.62
  6. Step 6: Final answer
    x = 7,059.27

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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.