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Finding the Fourth Proportional to 10,412, 15,617.60 and 4,568.66

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Solution

The fourth proportional to 10,412, 15,617.60 and 4,568.66 is: 6,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,412 : 15,617.60 = 4,568.66 : x
  2. Step 2: Convert to fraction form
    10,412/15,617.60 = 4,568.66/x
  3. Step 3: Cross multiply
    10,412x = 15,617.60 × 4,568.66
  4. Step 4: Simplify right side
    10,412x = 71,351,504.42
  5. Step 5: Solve for x
    x = 71,351,504.42/10,412
  6. Step 6: Final answer
    x = 6,852.81

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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.