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Finding the Fourth Proportional to 8,145, 11,240.16 and 4,419

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Solution

The fourth proportional to 8,145, 11,240.16 and 4,419 is: 6,098.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145 : 11,240.16 = 4,419 : x
  2. Step 2: Convert to fraction form
    8,145/11,240.16 = 4,419/x
  3. Step 3: Cross multiply
    8,145x = 11,240.16 × 4,419
  4. Step 4: Simplify right side
    8,145x = 49,670,267.04
  5. Step 5: Solve for x
    x = 49,670,267.04/8,145
  6. Step 6: Final answer
    x = 6,098.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.