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Finding the Fourth Proportional to 17,077.09, 25,609.47 and 7,217.14

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Solution

The fourth proportional to 17,077.09, 25,609.47 and 7,217.14 is: 10,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,077.09 : 25,609.47 = 7,217.14 : x
  2. Step 2: Convert to fraction form
    17,077.09/25,609.47 = 7,217.14/x
  3. Step 3: Cross multiply
    17,077.09x = 25,609.47 × 7,217.14
  4. Step 4: Simplify right side
    17,077.09x = 184,827,051.23
  5. Step 5: Solve for x
    x = 184,827,051.23/17,077.09
  6. Step 6: Final answer
    x = 10,823.10

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1.5x scale

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.