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Finding the Fourth Proportional to 26,823.40, 40,235.10 and 9,293.80

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Solution

The fourth proportional to 26,823.40, 40,235.10 and 9,293.80 is: 13,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,823.40 : 40,235.10 = 9,293.80 : x
  2. Step 2: Convert to fraction form
    26,823.40/40,235.10 = 9,293.80/x
  3. Step 3: Cross multiply
    26,823.40x = 40,235.10 × 9,293.80
  4. Step 4: Simplify right side
    26,823.40x = 373,936,972.38
  5. Step 5: Solve for x
    x = 373,936,972.38/26,823.40
  6. Step 6: Final answer
    x = 13,940.70

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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.