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Finding the Fourth Proportional to 7,838.13, 10,818.09 and 5,946.38

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Solution

The fourth proportional to 7,838.13, 10,818.09 and 5,946.38 is: 8,207.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.13 : 10,818.09 = 5,946.38 : x
  2. Step 2: Convert to fraction form
    7,838.13/10,818.09 = 5,946.38/x
  3. Step 3: Cross multiply
    7,838.13x = 10,818.09 × 5,946.38
  4. Step 4: Simplify right side
    7,838.13x = 64,328,419.92
  5. Step 5: Solve for x
    x = 64,328,419.92/7,838.13
  6. Step 6: Final answer
    x = 8,207.11

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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.