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Finding the Fourth Proportional to 27,497.84, 37,947 and 14,922.56

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Solution

The fourth proportional to 27,497.84, 37,947 and 14,922.56 is: 20,593.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,497.84 : 37,947 = 14,922.56 : x
  2. Step 2: Convert to fraction form
    27,497.84/37,947 = 14,922.56/x
  3. Step 3: Cross multiply
    27,497.84x = 37,947 × 14,922.56
  4. Step 4: Simplify right side
    27,497.84x = 566,266,384.32
  5. Step 5: Solve for x
    x = 566,266,384.32/27,497.84
  6. Step 6: Final answer
    x = 20,593.12

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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.