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Finding the Fourth Proportional to 7,382.61, 11,077.16 and 3,002.94

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Solution

The fourth proportional to 7,382.61, 11,077.16 and 3,002.94 is: 4,505.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.61 : 11,077.16 = 3,002.94 : x
  2. Step 2: Convert to fraction form
    7,382.61/11,077.16 = 3,002.94/x
  3. Step 3: Cross multiply
    7,382.61x = 11,077.16 × 3,002.94
  4. Step 4: Simplify right side
    7,382.61x = 33,264,031.84
  5. Step 5: Solve for x
    x = 33,264,031.84/7,382.61
  6. Step 6: Final answer
    x = 4,505.73

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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.