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Finding the Fourth Proportional to 7,010.46, 9,674.42 and 3,866.63

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Solution

The fourth proportional to 7,010.46, 9,674.42 and 3,866.63 is: 5,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,010.46 : 9,674.42 = 3,866.63 : x
  2. Step 2: Convert to fraction form
    7,010.46/9,674.42 = 3,866.63/x
  3. Step 3: Cross multiply
    7,010.46x = 9,674.42 × 3,866.63
  4. Step 4: Simplify right side
    7,010.46x = 37,407,334.90
  5. Step 5: Solve for x
    x = 37,407,334.90/7,010.46
  6. Step 6: Final answer
    x = 5,335.93

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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.