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Finding the Fourth Proportional to 11,646.58, 17,473.47 and 6,971.87

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Solution

The fourth proportional to 11,646.58, 17,473.47 and 6,971.87 is: 10,459.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.58 : 17,473.47 = 6,971.87 : x
  2. Step 2: Convert to fraction form
    11,646.58/17,473.47 = 6,971.87/x
  3. Step 3: Cross multiply
    11,646.58x = 17,473.47 × 6,971.87
  4. Step 4: Simplify right side
    11,646.58x = 121,822,639.06
  5. Step 5: Solve for x
    x = 121,822,639.06/11,646.58
  6. Step 6: Final answer
    x = 10,459.95

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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.