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Finding the Fourth Proportional to 4,811.70, 7,178.05 and 4,476.13

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Solution

The fourth proportional to 4,811.70, 7,178.05 and 4,476.13 is: 6,677.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,811.70 : 7,178.05 = 4,476.13 : x
  2. Step 2: Convert to fraction form
    4,811.70/7,178.05 = 4,476.13/x
  3. Step 3: Cross multiply
    4,811.70x = 7,178.05 × 4,476.13
  4. Step 4: Simplify right side
    4,811.70x = 32,129,872.60
  5. Step 5: Solve for x
    x = 32,129,872.60/4,811.70
  6. Step 6: Final answer
    x = 6,677.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.