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Finding the Fourth Proportional to 7,659.72, 11,470.14 and 6,117.48

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Solution

The fourth proportional to 7,659.72, 11,470.14 and 6,117.48 is: 9,160.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.72 : 11,470.14 = 6,117.48 : x
  2. Step 2: Convert to fraction form
    7,659.72/11,470.14 = 6,117.48/x
  3. Step 3: Cross multiply
    7,659.72x = 11,470.14 × 6,117.48
  4. Step 4: Simplify right side
    7,659.72x = 70,168,352.05
  5. Step 5: Solve for x
    x = 70,168,352.05/7,659.72
  6. Step 6: Final answer
    x = 9,160.69

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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.