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Finding the Fourth Proportional to 4,584.06, 6,876.09 and 1,661.40

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Solution

The fourth proportional to 4,584.06, 6,876.09 and 1,661.40 is: 2,492.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,584.06 : 6,876.09 = 1,661.40 : x
  2. Step 2: Convert to fraction form
    4,584.06/6,876.09 = 1,661.40/x
  3. Step 3: Cross multiply
    4,584.06x = 6,876.09 × 1,661.40
  4. Step 4: Simplify right side
    4,584.06x = 11,423,935.93
  5. Step 5: Solve for x
    x = 11,423,935.93/4,584.06
  6. Step 6: Final answer
    x = 2,492.10

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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.