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Finding the Fourth Proportional to 5,774.24, 8,661 and 1,670.24

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Solution

The fourth proportional to 5,774.24, 8,661 and 1,670.24 is: 2,505.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.24 : 8,661 = 1,670.24 : x
  2. Step 2: Convert to fraction form
    5,774.24/8,661 = 1,670.24/x
  3. Step 3: Cross multiply
    5,774.24x = 8,661 × 1,670.24
  4. Step 4: Simplify right side
    5,774.24x = 14,465,948.64
  5. Step 5: Solve for x
    x = 14,465,948.64/5,774.24
  6. Step 6: Final answer
    x = 2,505.26

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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.