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Finding the Fourth Proportional to 24,978.24, 37,467.36 and 6,510.24

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Solution

The fourth proportional to 24,978.24, 37,467.36 and 6,510.24 is: 9,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,978.24 : 37,467.36 = 6,510.24 : x
  2. Step 2: Convert to fraction form
    24,978.24/37,467.36 = 6,510.24/x
  3. Step 3: Cross multiply
    24,978.24x = 37,467.36 × 6,510.24
  4. Step 4: Simplify right side
    24,978.24x = 243,921,505.77
  5. Step 5: Solve for x
    x = 243,921,505.77/24,978.24
  6. Step 6: Final answer
    x = 9,765.36

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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.