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Finding the Fourth Proportional to 7,112.69, 9,809.96 and 4,560.69

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Solution

The fourth proportional to 7,112.69, 9,809.96 and 4,560.69 is: 6,290.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,112.69 : 9,809.96 = 4,560.69 : x
  2. Step 2: Convert to fraction form
    7,112.69/9,809.96 = 4,560.69/x
  3. Step 3: Cross multiply
    7,112.69x = 9,809.96 × 4,560.69
  4. Step 4: Simplify right side
    7,112.69x = 44,740,137.42
  5. Step 5: Solve for x
    x = 44,740,137.42/7,112.69
  6. Step 6: Final answer
    x = 6,290.19

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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.