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Finding the Fourth Proportional to 4,946.80, 7,420.20 and 4,385.20

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Solution

The fourth proportional to 4,946.80, 7,420.20 and 4,385.20 is: 6,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,946.80 : 7,420.20 = 4,385.20 : x
  2. Step 2: Convert to fraction form
    4,946.80/7,420.20 = 4,385.20/x
  3. Step 3: Cross multiply
    4,946.80x = 7,420.20 × 4,385.20
  4. Step 4: Simplify right side
    4,946.80x = 32,539,061.04
  5. Step 5: Solve for x
    x = 32,539,061.04/4,946.80
  6. Step 6: Final answer
    x = 6,577.80

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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.