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Finding the Fourth Proportional to 5,670.75, 8,506.89 and 1,775.46

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Solution

The fourth proportional to 5,670.75, 8,506.89 and 1,775.46 is: 2,663.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.75 : 8,506.89 = 1,775.46 : x
  2. Step 2: Convert to fraction form
    5,670.75/8,506.89 = 1,775.46/x
  3. Step 3: Cross multiply
    5,670.75x = 8,506.89 × 1,775.46
  4. Step 4: Simplify right side
    5,670.75x = 15,103,642.92
  5. Step 5: Solve for x
    x = 15,103,642.92/5,670.75
  6. Step 6: Final answer
    x = 2,663.43

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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.