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Finding the Fourth Proportional to 10,420.10, 15,664.02 and 8,362.65

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Solution

The fourth proportional to 10,420.10, 15,664.02 and 8,362.65 is: 12,571.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.10 : 15,664.02 = 8,362.65 : x
  2. Step 2: Convert to fraction form
    10,420.10/15,664.02 = 8,362.65/x
  3. Step 3: Cross multiply
    10,420.10x = 15,664.02 × 8,362.65
  4. Step 4: Simplify right side
    10,420.10x = 130,992,716.85
  5. Step 5: Solve for x
    x = 130,992,716.85/10,420.10
  6. Step 6: Final answer
    x = 12,571.16

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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.