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Finding the Fourth Proportional to 14,421.96, 19,902.29 and 7,797.96

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Solution

The fourth proportional to 14,421.96, 19,902.29 and 7,797.96 is: 10,761.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.96 : 19,902.29 = 7,797.96 : x
  2. Step 2: Convert to fraction form
    14,421.96/19,902.29 = 7,797.96/x
  3. Step 3: Cross multiply
    14,421.96x = 19,902.29 × 7,797.96
  4. Step 4: Simplify right side
    14,421.96x = 155,197,222.34
  5. Step 5: Solve for x
    x = 155,197,222.34/14,421.96
  6. Step 6: Final answer
    x = 10,761.17

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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.