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Finding the Fourth Proportional to 15,347.42, 23,014.42 and 7,744.03

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Solution

The fourth proportional to 15,347.42, 23,014.42 and 7,744.03 is: 11,612.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,347.42 : 23,014.42 = 7,744.03 : x
  2. Step 2: Convert to fraction form
    15,347.42/23,014.42 = 7,744.03/x
  3. Step 3: Cross multiply
    15,347.42x = 23,014.42 × 7,744.03
  4. Step 4: Simplify right side
    15,347.42x = 178,224,301.38
  5. Step 5: Solve for x
    x = 178,224,301.38/15,347.42
  6. Step 6: Final answer
    x = 11,612.66

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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.