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Finding the Fourth Proportional to 9,395.93, 12,966.39 and 5,204.18

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Solution

The fourth proportional to 9,395.93, 12,966.39 and 5,204.18 is: 7,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.93 : 12,966.39 = 5,204.18 : x
  2. Step 2: Convert to fraction form
    9,395.93/12,966.39 = 5,204.18/x
  3. Step 3: Cross multiply
    9,395.93x = 12,966.39 × 5,204.18
  4. Step 4: Simplify right side
    9,395.93x = 67,479,427.51
  5. Step 5: Solve for x
    x = 67,479,427.51/9,395.93
  6. Step 6: Final answer
    x = 7,181.77

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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.