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Finding the Fourth Proportional to 5,273.48, 7,911.72 and 1,575.86

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Solution

The fourth proportional to 5,273.48, 7,911.72 and 1,575.86 is: 2,364.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,273.48 : 7,911.72 = 1,575.86 : x
  2. Step 2: Convert to fraction form
    5,273.48/7,911.72 = 1,575.86/x
  3. Step 3: Cross multiply
    5,273.48x = 7,911.72 × 1,575.86
  4. Step 4: Simplify right side
    5,273.48x = 12,467,763.08
  5. Step 5: Solve for x
    x = 12,467,763.08/5,273.48
  6. Step 6: Final answer
    x = 2,364.24

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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.