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Finding the Fourth Proportional to 14,446.96, 19,937 and 7,822.96

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Solution

The fourth proportional to 14,446.96, 19,937 and 7,822.96 is: 10,795.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,446.96 : 19,937 = 7,822.96 : x
  2. Step 2: Convert to fraction form
    14,446.96/19,937 = 7,822.96/x
  3. Step 3: Cross multiply
    14,446.96x = 19,937 × 7,822.96
  4. Step 4: Simplify right side
    14,446.96x = 155,966,353.52
  5. Step 5: Solve for x
    x = 155,966,353.52/14,446.96
  6. Step 6: Final answer
    x = 10,795.79

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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.