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Finding the Fourth Proportional to 9,395.93, 12,966.21 and 5,146.88

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Solution

The fourth proportional to 9,395.93, 12,966.21 and 5,146.88 is: 7,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.93 : 12,966.21 = 5,146.88 : x
  2. Step 2: Convert to fraction form
    9,395.93/12,966.21 = 5,146.88/x
  3. Step 3: Cross multiply
    9,395.93x = 12,966.21 × 5,146.88
  4. Step 4: Simplify right side
    9,395.93x = 66,735,462.09
  5. Step 5: Solve for x
    x = 66,735,462.09/9,395.93
  6. Step 6: Final answer
    x = 7,102.59

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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.