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Finding the Fourth Proportional to 9,358.50, 12,914.73 and 5,166.78

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Solution

The fourth proportional to 9,358.50, 12,914.73 and 5,166.78 is: 7,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.50 : 12,914.73 = 5,166.78 : x
  2. Step 2: Convert to fraction form
    9,358.50/12,914.73 = 5,166.78/x
  3. Step 3: Cross multiply
    9,358.50x = 12,914.73 × 5,166.78
  4. Step 4: Simplify right side
    9,358.50x = 66,727,568.67
  5. Step 5: Solve for x
    x = 66,727,568.67/9,358.50
  6. Step 6: Final answer
    x = 7,130.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.