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Finding the Fourth Proportional to 14,806.47, 22,209.72 and 7,403.48

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Solution

The fourth proportional to 14,806.47, 22,209.72 and 7,403.48 is: 11,105.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,806.47 : 22,209.72 = 7,403.48 : x
  2. Step 2: Convert to fraction form
    14,806.47/22,209.72 = 7,403.48/x
  3. Step 3: Cross multiply
    14,806.47x = 22,209.72 × 7,403.48
  4. Step 4: Simplify right side
    14,806.47x = 164,429,217.83
  5. Step 5: Solve for x
    x = 164,429,217.83/14,806.47
  6. Step 6: Final answer
    x = 11,105.23

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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.