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Finding the Fourth Proportional to 10,186.38, 14,056.44 and 6,207

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Solution

The fourth proportional to 10,186.38, 14,056.44 and 6,207 is: 8,565.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.38 : 14,056.44 = 6,207 : x
  2. Step 2: Convert to fraction form
    10,186.38/14,056.44 = 6,207/x
  3. Step 3: Cross multiply
    10,186.38x = 14,056.44 × 6,207
  4. Step 4: Simplify right side
    10,186.38x = 87,248,323.08
  5. Step 5: Solve for x
    x = 87,248,323.08/10,186.38
  6. Step 6: Final answer
    x = 8,565.19

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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.