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Finding the Fourth Proportional to 15,837.76, 23,763.54 and 7,523.65

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Solution

The fourth proportional to 15,837.76, 23,763.54 and 7,523.65 is: 11,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,837.76 : 23,763.54 = 7,523.65 : x
  2. Step 2: Convert to fraction form
    15,837.76/23,763.54 = 7,523.65/x
  3. Step 3: Cross multiply
    15,837.76x = 23,763.54 × 7,523.65
  4. Step 4: Simplify right side
    15,837.76x = 178,788,557.72
  5. Step 5: Solve for x
    x = 178,788,557.72/15,837.76
  6. Step 6: Final answer
    x = 11,288.75

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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.