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Finding the Fourth Proportional to 14,458.22, 19,952.18 and 7,834.22

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Solution

The fourth proportional to 14,458.22, 19,952.18 and 7,834.22 is: 10,811.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.22 : 19,952.18 = 7,834.22 : x
  2. Step 2: Convert to fraction form
    14,458.22/19,952.18 = 7,834.22/x
  3. Step 3: Cross multiply
    14,458.22x = 19,952.18 × 7,834.22
  4. Step 4: Simplify right side
    14,458.22x = 156,309,767.60
  5. Step 5: Solve for x
    x = 156,309,767.60/14,458.22
  6. Step 6: Final answer
    x = 10,811.13

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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.