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Finding the Fourth Proportional to 15,675.72, 23,512.44 and 7,357.64

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Solution

The fourth proportional to 15,675.72, 23,512.44 and 7,357.64 is: 11,035.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,675.72 : 23,512.44 = 7,357.64 : x
  2. Step 2: Convert to fraction form
    15,675.72/23,512.44 = 7,357.64/x
  3. Step 3: Cross multiply
    15,675.72x = 23,512.44 × 7,357.64
  4. Step 4: Simplify right side
    15,675.72x = 172,996,069.04
  5. Step 5: Solve for x
    x = 172,996,069.04/15,675.72
  6. Step 6: Final answer
    x = 11,035.92

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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.