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Finding the Fourth Proportional to 4,101.88, 6,152.84 and 1,023.88

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Solution

The fourth proportional to 4,101.88, 6,152.84 and 1,023.88 is: 1,535.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.88 : 6,152.84 = 1,023.88 : x
  2. Step 2: Convert to fraction form
    4,101.88/6,152.84 = 1,023.88/x
  3. Step 3: Cross multiply
    4,101.88x = 6,152.84 × 1,023.88
  4. Step 4: Simplify right side
    4,101.88x = 6,299,769.82
  5. Step 5: Solve for x
    x = 6,299,769.82/4,101.88
  6. Step 6: Final answer
    x = 1,535.82

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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.