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Finding the Fourth Proportional to 27,294.40, 40,939.44 and 9,762.40

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Solution

The fourth proportional to 27,294.40, 40,939.44 and 9,762.40 is: 14,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,294.40 : 40,939.44 = 9,762.40 : x
  2. Step 2: Convert to fraction form
    27,294.40/40,939.44 = 9,762.40/x
  3. Step 3: Cross multiply
    27,294.40x = 40,939.44 × 9,762.40
  4. Step 4: Simplify right side
    27,294.40x = 399,667,189.06
  5. Step 5: Solve for x
    x = 399,667,189.06/27,294.40
  6. Step 6: Final answer
    x = 14,642.83

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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.