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Finding the Fourth Proportional to 11,798.30, 17,697.46 and 3,033.16

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Solution

The fourth proportional to 11,798.30, 17,697.46 and 3,033.16 is: 4,549.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,798.30 : 17,697.46 = 3,033.16 : x
  2. Step 2: Convert to fraction form
    11,798.30/17,697.46 = 3,033.16/x
  3. Step 3: Cross multiply
    11,798.30x = 17,697.46 × 3,033.16
  4. Step 4: Simplify right side
    11,798.30x = 53,679,227.77
  5. Step 5: Solve for x
    x = 53,679,227.77/11,798.30
  6. Step 6: Final answer
    x = 4,549.74

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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.