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Finding the Fourth Proportional to 27,410, 37,826.08 and 14,835.02

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Solution

The fourth proportional to 27,410, 37,826.08 and 14,835.02 is: 20,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410 : 37,826.08 = 14,835.02 : x
  2. Step 2: Convert to fraction form
    27,410/37,826.08 = 14,835.02/x
  3. Step 3: Cross multiply
    27,410x = 37,826.08 × 14,835.02
  4. Step 4: Simplify right side
    27,410x = 561,150,653.32
  5. Step 5: Solve for x
    x = 561,150,653.32/27,410
  6. Step 6: Final answer
    x = 20,472.48

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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.