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Finding the Fourth Proportional to 13,282.73, 19,917.73 and 7,737.65

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Solution

The fourth proportional to 13,282.73, 19,917.73 and 7,737.65 is: 11,602.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,282.73 : 19,917.73 = 7,737.65 : x
  2. Step 2: Convert to fraction form
    13,282.73/19,917.73 = 7,737.65/x
  3. Step 3: Cross multiply
    13,282.73x = 19,917.73 × 7,737.65
  4. Step 4: Simplify right side
    13,282.73x = 154,116,423.53
  5. Step 5: Solve for x
    x = 154,116,423.53/13,282.73
  6. Step 6: Final answer
    x = 11,602.77

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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.