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Finding the Fourth Proportional to 7,746.15, 11,668.62 and 7,073.67

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Solution

The fourth proportional to 7,746.15, 11,668.62 and 7,073.67 is: 10,655.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,746.15 : 11,668.62 = 7,073.67 : x
  2. Step 2: Convert to fraction form
    7,746.15/11,668.62 = 7,073.67/x
  3. Step 3: Cross multiply
    7,746.15x = 11,668.62 × 7,073.67
  4. Step 4: Simplify right side
    7,746.15x = 82,539,967.24
  5. Step 5: Solve for x
    x = 82,539,967.24/7,746.15
  6. Step 6: Final answer
    x = 10,655.61

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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.