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Finding the Fourth Proportional to 6,505.06, 9,752.10 and 2,612.20

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Solution

The fourth proportional to 6,505.06, 9,752.10 and 2,612.20 is: 3,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.06 : 9,752.10 = 2,612.20 : x
  2. Step 2: Convert to fraction form
    6,505.06/9,752.10 = 2,612.20/x
  3. Step 3: Cross multiply
    6,505.06x = 9,752.10 × 2,612.20
  4. Step 4: Simplify right side
    6,505.06x = 25,474,435.62
  5. Step 5: Solve for x
    x = 25,474,435.62/6,505.06
  6. Step 6: Final answer
    x = 3,916.10

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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.