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Finding the Fourth Proportional to 5,265.49, 7,898.15 and 1,567.74

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Solution

The fourth proportional to 5,265.49, 7,898.15 and 1,567.74 is: 2,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.49 : 7,898.15 = 1,567.74 : x
  2. Step 2: Convert to fraction form
    5,265.49/7,898.15 = 1,567.74/x
  3. Step 3: Cross multiply
    5,265.49x = 7,898.15 × 1,567.74
  4. Step 4: Simplify right side
    5,265.49x = 12,382,249.60
  5. Step 5: Solve for x
    x = 12,382,249.60/5,265.49
  6. Step 6: Final answer
    x = 2,351.59

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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.