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Finding the Fourth Proportional to 7,681.94, 11,523.13 and 3,001.76

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Solution

The fourth proportional to 7,681.94, 11,523.13 and 3,001.76 is: 4,502.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.94 : 11,523.13 = 3,001.76 : x
  2. Step 2: Convert to fraction form
    7,681.94/11,523.13 = 3,001.76/x
  3. Step 3: Cross multiply
    7,681.94x = 11,523.13 × 3,001.76
  4. Step 4: Simplify right side
    7,681.94x = 34,589,605.59
  5. Step 5: Solve for x
    x = 34,589,605.59/7,681.94
  6. Step 6: Final answer
    x = 4,502.72

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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.