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Finding the Fourth Proportional to 16,946.16, 25,424.76 and 8,182.08

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Solution

The fourth proportional to 16,946.16, 25,424.76 and 8,182.08 is: 12,275.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,946.16 : 25,424.76 = 8,182.08 : x
  2. Step 2: Convert to fraction form
    16,946.16/25,424.76 = 8,182.08/x
  3. Step 3: Cross multiply
    16,946.16x = 25,424.76 × 8,182.08
  4. Step 4: Simplify right side
    16,946.16x = 208,027,420.30
  5. Step 5: Solve for x
    x = 208,027,420.30/16,946.16
  6. Step 6: Final answer
    x = 12,275.79

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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.