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Finding the Fourth Proportional to 28,653, 42,974.78 and 7,594.35

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Solution

The fourth proportional to 28,653, 42,974.78 and 7,594.35 is: 11,390.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,653 : 42,974.78 = 7,594.35 : x
  2. Step 2: Convert to fraction form
    28,653/42,974.78 = 7,594.35/x
  3. Step 3: Cross multiply
    28,653x = 42,974.78 × 7,594.35
  4. Step 4: Simplify right side
    28,653x = 326,365,520.49
  5. Step 5: Solve for x
    x = 326,365,520.49/28,653
  6. Step 6: Final answer
    x = 11,390.27

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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.