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Finding the Fourth Proportional to 9,308.66, 13,960.94 and 5,966.87

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Solution

The fourth proportional to 9,308.66, 13,960.94 and 5,966.87 is: 8,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.66 : 13,960.94 = 5,966.87 : x
  2. Step 2: Convert to fraction form
    9,308.66/13,960.94 = 5,966.87/x
  3. Step 3: Cross multiply
    9,308.66x = 13,960.94 × 5,966.87
  4. Step 4: Simplify right side
    9,308.66x = 83,303,014.42
  5. Step 5: Solve for x
    x = 83,303,014.42/9,308.66
  6. Step 6: Final answer
    x = 8,948.99

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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.