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Finding the Fourth Proportional to 15,869.90, 23,805.11 and 7,548.23

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Solution

The fourth proportional to 15,869.90, 23,805.11 and 7,548.23 is: 11,322.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,869.90 : 23,805.11 = 7,548.23 : x
  2. Step 2: Convert to fraction form
    15,869.90/23,805.11 = 7,548.23/x
  3. Step 3: Cross multiply
    15,869.90x = 23,805.11 × 7,548.23
  4. Step 4: Simplify right side
    15,869.90x = 179,686,523.84
  5. Step 5: Solve for x
    x = 179,686,523.84/15,869.90
  6. Step 6: Final answer
    x = 11,322.47

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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.