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Finding the Fourth Proportional to 27,313.26, 40,978.40 and 9,783.24

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Solution

The fourth proportional to 27,313.26, 40,978.40 and 9,783.24 is: 14,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.26 : 40,978.40 = 9,783.24 : x
  2. Step 2: Convert to fraction form
    27,313.26/40,978.40 = 9,783.24/x
  3. Step 3: Cross multiply
    27,313.26x = 40,978.40 × 9,783.24
  4. Step 4: Simplify right side
    27,313.26x = 400,901,522.02
  5. Step 5: Solve for x
    x = 400,901,522.02/27,313.26
  6. Step 6: Final answer
    x = 14,677.91

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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.