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Finding the Fourth Proportional to 9,506.78, 14,246.30 and 5,347.94

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Solution

The fourth proportional to 9,506.78, 14,246.30 and 5,347.94 is: 8,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.78 : 14,246.30 = 5,347.94 : x
  2. Step 2: Convert to fraction form
    9,506.78/14,246.30 = 5,347.94/x
  3. Step 3: Cross multiply
    9,506.78x = 14,246.30 × 5,347.94
  4. Step 4: Simplify right side
    9,506.78x = 76,188,366.50
  5. Step 5: Solve for x
    x = 76,188,366.50/9,506.78
  6. Step 6: Final answer
    x = 8,014.11

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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.