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Finding the Fourth Proportional to 15,697.96, 23,515.48 and 9,454.48

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Solution

The fourth proportional to 15,697.96, 23,515.48 and 9,454.48 is: 14,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.96 : 23,515.48 = 9,454.48 : x
  2. Step 2: Convert to fraction form
    15,697.96/23,515.48 = 9,454.48/x
  3. Step 3: Cross multiply
    15,697.96x = 23,515.48 × 9,454.48
  4. Step 4: Simplify right side
    15,697.96x = 222,326,635.35
  5. Step 5: Solve for x
    x = 222,326,635.35/15,697.96
  6. Step 6: Final answer
    x = 14,162.77

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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.