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Finding the Fourth Proportional to 7,666.68, 11,497.19 and 2,735.00

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Solution

The fourth proportional to 7,666.68, 11,497.19 and 2,735.00 is: 4,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,666.68 : 11,497.19 = 2,735.00 : x
  2. Step 2: Convert to fraction form
    7,666.68/11,497.19 = 2,735.00/x
  3. Step 3: Cross multiply
    7,666.68x = 11,497.19 × 2,735.00
  4. Step 4: Simplify right side
    7,666.68x = 31,444,743.49
  5. Step 5: Solve for x
    x = 31,444,743.49/7,666.68
  6. Step 6: Final answer
    x = 4,101.48

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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.