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Finding the Fourth Proportional to 15,960.15, 23,944.34 and 7,646.58

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Solution

The fourth proportional to 15,960.15, 23,944.34 and 7,646.58 is: 11,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,960.15 : 23,944.34 = 7,646.58 : x
  2. Step 2: Convert to fraction form
    15,960.15/23,944.34 = 7,646.58/x
  3. Step 3: Cross multiply
    15,960.15x = 23,944.34 × 7,646.58
  4. Step 4: Simplify right side
    15,960.15x = 183,092,330.47
  5. Step 5: Solve for x
    x = 183,092,330.47/15,960.15
  6. Step 6: Final answer
    x = 11,471.84

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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.