Home / 11,686.39-16,125-6,971.11

Finding the Fourth Proportional to 11,686.39, 16,125 and 6,971.11

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Solution

The fourth proportional to 11,686.39, 16,125 and 6,971.11 is: 9,618.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.39 : 16,125 = 6,971.11 : x
  2. Step 2: Convert to fraction form
    11,686.39/16,125 = 6,971.11/x
  3. Step 3: Cross multiply
    11,686.39x = 16,125 × 6,971.11
  4. Step 4: Simplify right side
    11,686.39x = 112,409,148.75
  5. Step 5: Solve for x
    x = 112,409,148.75/11,686.39
  6. Step 6: Final answer
    x = 9,618.81

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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.