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Finding the Fourth Proportional to 6,101.80, 9,152.70 and 1,484.80

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Solution

The fourth proportional to 6,101.80, 9,152.70 and 1,484.80 is: 2,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.80 : 9,152.70 = 1,484.80 : x
  2. Step 2: Convert to fraction form
    6,101.80/9,152.70 = 1,484.80/x
  3. Step 3: Cross multiply
    6,101.80x = 9,152.70 × 1,484.80
  4. Step 4: Simplify right side
    6,101.80x = 13,589,928.96
  5. Step 5: Solve for x
    x = 13,589,928.96/6,101.80
  6. Step 6: Final answer
    x = 2,227.20

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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.