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Finding the Fourth Proportional to 4,776.40, 7,150.20 and 4,200.40

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Solution

The fourth proportional to 4,776.40, 7,150.20 and 4,200.40 is: 6,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.40 : 7,150.20 = 4,200.40 : x
  2. Step 2: Convert to fraction form
    4,776.40/7,150.20 = 4,200.40/x
  3. Step 3: Cross multiply
    4,776.40x = 7,150.20 × 4,200.40
  4. Step 4: Simplify right side
    4,776.40x = 30,033,700.08
  5. Step 5: Solve for x
    x = 30,033,700.08/4,776.40
  6. Step 6: Final answer
    x = 6,287.94

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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.