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Finding the Fourth Proportional to 7,951.08, 10,967.94 and 7,009.14

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Solution

The fourth proportional to 7,951.08, 10,967.94 and 7,009.14 is: 9,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,951.08 : 10,967.94 = 7,009.14 : x
  2. Step 2: Convert to fraction form
    7,951.08/10,967.94 = 7,009.14/x
  3. Step 3: Cross multiply
    7,951.08x = 10,967.94 × 7,009.14
  4. Step 4: Simplify right side
    7,951.08x = 76,875,826.97
  5. Step 5: Solve for x
    x = 76,875,826.97/7,951.08
  6. Step 6: Final answer
    x = 9,668.60

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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.