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Finding the Fourth Proportional to 10,646.91, 14,697.18 and 6,667.11

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Solution

The fourth proportional to 10,646.91, 14,697.18 and 6,667.11 is: 9,203.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.91 : 14,697.18 = 6,667.11 : x
  2. Step 2: Convert to fraction form
    10,646.91/14,697.18 = 6,667.11/x
  3. Step 3: Cross multiply
    10,646.91x = 14,697.18 × 6,667.11
  4. Step 4: Simplify right side
    10,646.91x = 97,987,715.75
  5. Step 5: Solve for x
    x = 97,987,715.75/10,646.91
  6. Step 6: Final answer
    x = 9,203.39

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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.