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Finding the Fourth Proportional to 14,556.77, 20,095.59 and 9,865.65

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Solution

The fourth proportional to 14,556.77, 20,095.59 and 9,865.65 is: 13,619.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,556.77 : 20,095.59 = 9,865.65 : x
  2. Step 2: Convert to fraction form
    14,556.77/20,095.59 = 9,865.65/x
  3. Step 3: Cross multiply
    14,556.77x = 20,095.59 × 9,865.65
  4. Step 4: Simplify right side
    14,556.77x = 198,256,057.48
  5. Step 5: Solve for x
    x = 198,256,057.48/14,556.77
  6. Step 6: Final answer
    x = 13,619.51

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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.