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Finding the Fourth Proportional to 9,795.14, 14,766.11 and 9,143.40

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Solution

The fourth proportional to 9,795.14, 14,766.11 and 9,143.40 is: 13,783.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795.14 : 14,766.11 = 9,143.40 : x
  2. Step 2: Convert to fraction form
    9,795.14/14,766.11 = 9,143.40/x
  3. Step 3: Cross multiply
    9,795.14x = 14,766.11 × 9,143.40
  4. Step 4: Simplify right side
    9,795.14x = 135,012,404.46
  5. Step 5: Solve for x
    x = 135,012,404.46/9,795.14
  6. Step 6: Final answer
    x = 13,783.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.