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Finding the Fourth Proportional to 9,746.92, 14,652.78 and 7,556.68

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Solution

The fourth proportional to 9,746.92, 14,652.78 and 7,556.68 is: 11,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,746.92 : 14,652.78 = 7,556.68 : x
  2. Step 2: Convert to fraction form
    9,746.92/14,652.78 = 7,556.68/x
  3. Step 3: Cross multiply
    9,746.92x = 14,652.78 × 7,556.68
  4. Step 4: Simplify right side
    9,746.92x = 110,726,369.57
  5. Step 5: Solve for x
    x = 110,726,369.57/9,746.92
  6. Step 6: Final answer
    x = 11,360.14

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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.