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Finding the Fourth Proportional to 14,214.01, 19,615.09 and 7,841.22

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Solution

The fourth proportional to 14,214.01, 19,615.09 and 7,841.22 is: 10,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214.01 : 19,615.09 = 7,841.22 : x
  2. Step 2: Convert to fraction form
    14,214.01/19,615.09 = 7,841.22/x
  3. Step 3: Cross multiply
    14,214.01x = 19,615.09 × 7,841.22
  4. Step 4: Simplify right side
    14,214.01x = 153,806,236.01
  5. Step 5: Solve for x
    x = 153,806,236.01/14,214.01
  6. Step 6: Final answer
    x = 10,820.75

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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.