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Finding the Fourth Proportional to 10,951.14, 15,114.94 and 6,971.40

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Solution

The fourth proportional to 10,951.14, 15,114.94 and 6,971.40 is: 9,622.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,951.14 : 15,114.94 = 6,971.40 : x
  2. Step 2: Convert to fraction form
    10,951.14/15,114.94 = 6,971.40/x
  3. Step 3: Cross multiply
    10,951.14x = 15,114.94 × 6,971.40
  4. Step 4: Simplify right side
    10,951.14x = 105,372,292.72
  5. Step 5: Solve for x
    x = 105,372,292.72/10,951.14
  6. Step 6: Final answer
    x = 9,622.04

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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.