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Finding the Fourth Proportional to 4,652.10, 6,978.15 and 4,384.80

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Solution

The fourth proportional to 4,652.10, 6,978.15 and 4,384.80 is: 6,577.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.10 : 6,978.15 = 4,384.80 : x
  2. Step 2: Convert to fraction form
    4,652.10/6,978.15 = 4,384.80/x
  3. Step 3: Cross multiply
    4,652.10x = 6,978.15 × 4,384.80
  4. Step 4: Simplify right side
    4,652.10x = 30,597,792.12
  5. Step 5: Solve for x
    x = 30,597,792.12/4,652.10
  6. Step 6: Final answer
    x = 6,577.20

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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.