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Finding the Fourth Proportional to 22,851.84, 34,277.76 and 6,435.84

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Solution

The fourth proportional to 22,851.84, 34,277.76 and 6,435.84 is: 9,653.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,851.84 : 34,277.76 = 6,435.84 : x
  2. Step 2: Convert to fraction form
    22,851.84/34,277.76 = 6,435.84/x
  3. Step 3: Cross multiply
    22,851.84x = 34,277.76 × 6,435.84
  4. Step 4: Simplify right side
    22,851.84x = 220,606,178.92
  5. Step 5: Solve for x
    x = 220,606,178.92/22,851.84
  6. Step 6: Final answer
    x = 9,653.76

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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.