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Finding the Fourth Proportional to 7,666.84, 11,497.24 and 2,986.22

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Solution

The fourth proportional to 7,666.84, 11,497.24 and 2,986.22 is: 4,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.84 : 11,497.24 = 2,986.22 : x
  2. Step 2: Convert to fraction form
    7,666.84/11,497.24 = 2,986.22/x
  3. Step 3: Cross multiply
    7,666.84x = 11,497.24 × 2,986.22
  4. Step 4: Simplify right side
    7,666.84x = 34,333,288.03
  5. Step 5: Solve for x
    x = 34,333,288.03/7,666.84
  6. Step 6: Final answer
    x = 4,478.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.