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Finding the Fourth Proportional to 9,358.68, 12,914.90 and 5,166.90

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Solution

The fourth proportional to 9,358.68, 12,914.90 and 5,166.90 is: 7,130.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.68 : 12,914.90 = 5,166.90 : x
  2. Step 2: Convert to fraction form
    9,358.68/12,914.90 = 5,166.90/x
  3. Step 3: Cross multiply
    9,358.68x = 12,914.90 × 5,166.90
  4. Step 4: Simplify right side
    9,358.68x = 66,729,996.81
  5. Step 5: Solve for x
    x = 66,729,996.81/9,358.68
  6. Step 6: Final answer
    x = 7,130.28

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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.