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Finding the Fourth Proportional to 27,497.60, 37,946.40 and 14,922.40

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Solution

The fourth proportional to 27,497.60, 37,946.40 and 14,922.40 is: 20,592.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.60 : 37,946.40 = 14,922.40 : x
  2. Step 2: Convert to fraction form
    27,497.60/37,946.40 = 14,922.40/x
  3. Step 3: Cross multiply
    27,497.60x = 37,946.40 × 14,922.40
  4. Step 4: Simplify right side
    27,497.60x = 566,251,359.36
  5. Step 5: Solve for x
    x = 566,251,359.36/27,497.60
  6. Step 6: Final answer
    x = 20,592.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.