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Finding the Fourth Proportional to 4,930.20, 7,406.10 and 4,746.60

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Solution

The fourth proportional to 4,930.20, 7,406.10 and 4,746.60 is: 7,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,930.20 : 7,406.10 = 4,746.60 : x
  2. Step 2: Convert to fraction form
    4,930.20/7,406.10 = 4,746.60/x
  3. Step 3: Cross multiply
    4,930.20x = 7,406.10 × 4,746.60
  4. Step 4: Simplify right side
    4,930.20x = 35,153,794.26
  5. Step 5: Solve for x
    x = 35,153,794.26/4,930.20
  6. Step 6: Final answer
    x = 7,130.30

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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.