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Finding the Fourth Proportional to 14,637.77, 20,200.17 and 7,923.47

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Solution

The fourth proportional to 14,637.77, 20,200.17 and 7,923.47 is: 10,934.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,637.77 : 20,200.17 = 7,923.47 : x
  2. Step 2: Convert to fraction form
    14,637.77/20,200.17 = 7,923.47/x
  3. Step 3: Cross multiply
    14,637.77x = 20,200.17 × 7,923.47
  4. Step 4: Simplify right side
    14,637.77x = 160,055,339.99
  5. Step 5: Solve for x
    x = 160,055,339.99/14,637.77
  6. Step 6: Final answer
    x = 10,934.41

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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.