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Finding the Fourth Proportional to 12,574.67, 17,352.96 and 6,832.08

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Solution

The fourth proportional to 12,574.67, 17,352.96 and 6,832.08 is: 9,428.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.67 : 17,352.96 = 6,832.08 : x
  2. Step 2: Convert to fraction form
    12,574.67/17,352.96 = 6,832.08/x
  3. Step 3: Cross multiply
    12,574.67x = 17,352.96 × 6,832.08
  4. Step 4: Simplify right side
    12,574.67x = 118,556,720.26
  5. Step 5: Solve for x
    x = 118,556,720.26/12,574.67
  6. Step 6: Final answer
    x = 9,428.22

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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.