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Finding the Fourth Proportional to 5,610.75, 8,416.13 and 1,506.75

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Solution

The fourth proportional to 5,610.75, 8,416.13 and 1,506.75 is: 2,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.75 : 8,416.13 = 1,506.75 : x
  2. Step 2: Convert to fraction form
    5,610.75/8,416.13 = 1,506.75/x
  3. Step 3: Cross multiply
    5,610.75x = 8,416.13 × 1,506.75
  4. Step 4: Simplify right side
    5,610.75x = 12,680,996.34
  5. Step 5: Solve for x
    x = 12,680,996.34/5,610.75
  6. Step 6: Final answer
    x = 2,260.13

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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.