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Finding the Fourth Proportional to 16,696.48, 25,031.76 and 6,838.24

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Solution

The fourth proportional to 16,696.48, 25,031.76 and 6,838.24 is: 10,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.48 : 25,031.76 = 6,838.24 : x
  2. Step 2: Convert to fraction form
    16,696.48/25,031.76 = 6,838.24/x
  3. Step 3: Cross multiply
    16,696.48x = 25,031.76 × 6,838.24
  4. Step 4: Simplify right side
    16,696.48x = 171,173,182.50
  5. Step 5: Solve for x
    x = 171,173,182.50/16,696.48
  6. Step 6: Final answer
    x = 10,252.05

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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.