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Finding the Fourth Proportional to 14,597.68, 20,144.95 and 8,310.46

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Solution

The fourth proportional to 14,597.68, 20,144.95 and 8,310.46 is: 11,468.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.68 : 20,144.95 = 8,310.46 : x
  2. Step 2: Convert to fraction form
    14,597.68/20,144.95 = 8,310.46/x
  3. Step 3: Cross multiply
    14,597.68x = 20,144.95 × 8,310.46
  4. Step 4: Simplify right side
    14,597.68x = 167,413,730.04
  5. Step 5: Solve for x
    x = 167,413,730.04/14,597.68
  6. Step 6: Final answer
    x = 11,468.52

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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.