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Finding the Fourth Proportional to 10,811.21, 14,920.14 and 6,095.49

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Solution

The fourth proportional to 10,811.21, 14,920.14 and 6,095.49 is: 8,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.21 : 14,920.14 = 6,095.49 : x
  2. Step 2: Convert to fraction form
    10,811.21/14,920.14 = 6,095.49/x
  3. Step 3: Cross multiply
    10,811.21x = 14,920.14 × 6,095.49
  4. Step 4: Simplify right side
    10,811.21x = 90,945,564.17
  5. Step 5: Solve for x
    x = 90,945,564.17/10,811.21
  6. Step 6: Final answer
    x = 8,412.16

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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.