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Finding the Fourth Proportional to 7,284.70, 10,939.20 and 4,830.40

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Solution

The fourth proportional to 7,284.70, 10,939.20 and 4,830.40 is: 7,253.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.70 : 10,939.20 = 4,830.40 : x
  2. Step 2: Convert to fraction form
    7,284.70/10,939.20 = 4,830.40/x
  3. Step 3: Cross multiply
    7,284.70x = 10,939.20 × 4,830.40
  4. Step 4: Simplify right side
    7,284.70x = 52,840,711.68
  5. Step 5: Solve for x
    x = 52,840,711.68/7,284.70
  6. Step 6: Final answer
    x = 7,253.66

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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.