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Finding the Fourth Proportional to 4,777.40, 7,151.70 and 4,201.40

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Solution

The fourth proportional to 4,777.40, 7,151.70 and 4,201.40 is: 6,289.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.40 : 7,151.70 = 4,201.40 : x
  2. Step 2: Convert to fraction form
    4,777.40/7,151.70 = 4,201.40/x
  3. Step 3: Cross multiply
    4,777.40x = 7,151.70 × 4,201.40
  4. Step 4: Simplify right side
    4,777.40x = 30,047,152.38
  5. Step 5: Solve for x
    x = 30,047,152.38/4,777.40
  6. Step 6: Final answer
    x = 6,289.44

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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.