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Finding the Fourth Proportional to 22,653.67, 33,957.25 and 7,854.50

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Solution

The fourth proportional to 22,653.67, 33,957.25 and 7,854.50 is: 11,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,653.67 : 33,957.25 = 7,854.50 : x
  2. Step 2: Convert to fraction form
    22,653.67/33,957.25 = 7,854.50/x
  3. Step 3: Cross multiply
    22,653.67x = 33,957.25 × 7,854.50
  4. Step 4: Simplify right side
    22,653.67x = 266,717,030.70
  5. Step 5: Solve for x
    x = 266,717,030.70/22,653.67
  6. Step 6: Final answer
    x = 11,773.68

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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.