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Finding the Fourth Proportional to 14,253.42, 19,669.78 and 7,793.20

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Solution

The fourth proportional to 14,253.42, 19,669.78 and 7,793.20 is: 10,754.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,253.42 : 19,669.78 = 7,793.20 : x
  2. Step 2: Convert to fraction form
    14,253.42/19,669.78 = 7,793.20/x
  3. Step 3: Cross multiply
    14,253.42x = 19,669.78 × 7,793.20
  4. Step 4: Simplify right side
    14,253.42x = 153,290,529.50
  5. Step 5: Solve for x
    x = 153,290,529.50/14,253.42
  6. Step 6: Final answer
    x = 10,754.65

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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.