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Finding the Fourth Proportional to 27,494.64, 41,242.08 and 9,957.60

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Solution

The fourth proportional to 27,494.64, 41,242.08 and 9,957.60 is: 14,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,494.64 : 41,242.08 = 9,957.60 : x
  2. Step 2: Convert to fraction form
    27,494.64/41,242.08 = 9,957.60/x
  3. Step 3: Cross multiply
    27,494.64x = 41,242.08 × 9,957.60
  4. Step 4: Simplify right side
    27,494.64x = 410,672,135.81
  5. Step 5: Solve for x
    x = 410,672,135.81/27,494.64
  6. Step 6: Final answer
    x = 14,936.44

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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.