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Finding the Fourth Proportional to 17,030.44, 23,500.74 and 9,577

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Solution

The fourth proportional to 17,030.44, 23,500.74 and 9,577 is: 13,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,030.44 : 23,500.74 = 9,577 : x
  2. Step 2: Convert to fraction form
    17,030.44/23,500.74 = 9,577/x
  3. Step 3: Cross multiply
    17,030.44x = 23,500.74 × 9,577
  4. Step 4: Simplify right side
    17,030.44x = 225,066,586.98
  5. Step 5: Solve for x
    x = 225,066,586.98/17,030.44
  6. Step 6: Final answer
    x = 13,215.55

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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.