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Finding the Fourth Proportional to 4,671.20, 7,007.16 and 1,384.22

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Solution

The fourth proportional to 4,671.20, 7,007.16 and 1,384.22 is: 2,076.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.20 : 7,007.16 = 1,384.22 : x
  2. Step 2: Convert to fraction form
    4,671.20/7,007.16 = 1,384.22/x
  3. Step 3: Cross multiply
    4,671.20x = 7,007.16 × 1,384.22
  4. Step 4: Simplify right side
    4,671.20x = 9,699,451.02
  5. Step 5: Solve for x
    x = 9,699,451.02/4,671.20
  6. Step 6: Final answer
    x = 2,076.44

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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.