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Finding the Fourth Proportional to 12,858.96, 17,744.88 and 7,270.08

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Solution

The fourth proportional to 12,858.96, 17,744.88 and 7,270.08 is: 10,032.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,858.96 : 17,744.88 = 7,270.08 : x
  2. Step 2: Convert to fraction form
    12,858.96/17,744.88 = 7,270.08/x
  3. Step 3: Cross multiply
    12,858.96x = 17,744.88 × 7,270.08
  4. Step 4: Simplify right side
    12,858.96x = 129,006,697.19
  5. Step 5: Solve for x
    x = 129,006,697.19/12,858.96
  6. Step 6: Final answer
    x = 10,032.44

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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.