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Finding the Fourth Proportional to 15,921.26, 23,875.14 and 7,591.64

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Solution

The fourth proportional to 15,921.26, 23,875.14 and 7,591.64 is: 11,384.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,921.26 : 23,875.14 = 7,591.64 : x
  2. Step 2: Convert to fraction form
    15,921.26/23,875.14 = 7,591.64/x
  3. Step 3: Cross multiply
    15,921.26x = 23,875.14 × 7,591.64
  4. Step 4: Simplify right side
    15,921.26x = 181,251,467.83
  5. Step 5: Solve for x
    x = 181,251,467.83/15,921.26
  6. Step 6: Final answer
    x = 11,384.24

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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.