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Finding the Fourth Proportional to 27,214.40, 40,807.44 and 9,681.68

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Solution

The fourth proportional to 27,214.40, 40,807.44 and 9,681.68 is: 14,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.40 : 40,807.44 = 9,681.68 : x
  2. Step 2: Convert to fraction form
    27,214.40/40,807.44 = 9,681.68/x
  3. Step 3: Cross multiply
    27,214.40x = 40,807.44 × 9,681.68
  4. Step 4: Simplify right side
    27,214.40x = 395,084,575.70
  5. Step 5: Solve for x
    x = 395,084,575.70/27,214.40
  6. Step 6: Final answer
    x = 14,517.48

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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.