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Finding the Fourth Proportional to 10,356, 14,291.36 and 6,164

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Solution

The fourth proportional to 10,356, 14,291.36 and 6,164 is: 8,506.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356 : 14,291.36 = 6,164 : x
  2. Step 2: Convert to fraction form
    10,356/14,291.36 = 6,164/x
  3. Step 3: Cross multiply
    10,356x = 14,291.36 × 6,164
  4. Step 4: Simplify right side
    10,356x = 88,091,943.04
  5. Step 5: Solve for x
    x = 88,091,943.04/10,356
  6. Step 6: Final answer
    x = 8,506.37

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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.