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Finding the Fourth Proportional to 27,482.75, 41,224.22 and 6,706.25

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Solution

The fourth proportional to 27,482.75, 41,224.22 and 6,706.25 is: 10,059.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,482.75 : 41,224.22 = 6,706.25 : x
  2. Step 2: Convert to fraction form
    27,482.75/41,224.22 = 6,706.25/x
  3. Step 3: Cross multiply
    27,482.75x = 41,224.22 × 6,706.25
  4. Step 4: Simplify right side
    27,482.75x = 276,459,925.38
  5. Step 5: Solve for x
    x = 276,459,925.38/27,482.75
  6. Step 6: Final answer
    x = 10,059.40

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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.