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Finding the Fourth Proportional to 14,307.70, 21,446.50 and 7,732.12

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Solution

The fourth proportional to 14,307.70, 21,446.50 and 7,732.12 is: 11,590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,307.70 : 21,446.50 = 7,732.12 : x
  2. Step 2: Convert to fraction form
    14,307.70/21,446.50 = 7,732.12/x
  3. Step 3: Cross multiply
    14,307.70x = 21,446.50 × 7,732.12
  4. Step 4: Simplify right side
    14,307.70x = 165,826,911.58
  5. Step 5: Solve for x
    x = 165,826,911.58/14,307.70
  6. Step 6: Final answer
    x = 11,590.05

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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.