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Finding the Fourth Proportional to 27,462, 37,897.74 and 14,886.84

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Solution

The fourth proportional to 27,462, 37,897.74 and 14,886.84 is: 20,543.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462 : 37,897.74 = 14,886.84 : x
  2. Step 2: Convert to fraction form
    27,462/37,897.74 = 14,886.84/x
  3. Step 3: Cross multiply
    27,462x = 37,897.74 × 14,886.84
  4. Step 4: Simplify right side
    27,462x = 564,177,591.74
  5. Step 5: Solve for x
    x = 564,177,591.74/27,462
  6. Step 6: Final answer
    x = 20,543.94

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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.