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Finding the Fourth Proportional to 12,329.25, 17,014.43 and 6,740.25

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Solution

The fourth proportional to 12,329.25, 17,014.43 and 6,740.25 is: 9,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.25 : 17,014.43 = 6,740.25 : x
  2. Step 2: Convert to fraction form
    12,329.25/17,014.43 = 6,740.25/x
  3. Step 3: Cross multiply
    12,329.25x = 17,014.43 × 6,740.25
  4. Step 4: Simplify right side
    12,329.25x = 114,681,478.11
  5. Step 5: Solve for x
    x = 114,681,478.11/12,329.25
  6. Step 6: Final answer
    x = 9,301.58

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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.