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Finding the Fourth Proportional to 14,492.88, 21,730.68 and 5,731.92

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Solution

The fourth proportional to 14,492.88, 21,730.68 and 5,731.92 is: 8,594.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,492.88 : 21,730.68 = 5,731.92 : x
  2. Step 2: Convert to fraction form
    14,492.88/21,730.68 = 5,731.92/x
  3. Step 3: Cross multiply
    14,492.88x = 21,730.68 × 5,731.92
  4. Step 4: Simplify right side
    14,492.88x = 124,558,519.31
  5. Step 5: Solve for x
    x = 124,558,519.31/14,492.88
  6. Step 6: Final answer
    x = 8,594.46

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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.