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Finding the Fourth Proportional to 24,509.14, 36,763.74 and 6,978.98

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Solution

The fourth proportional to 24,509.14, 36,763.74 and 6,978.98 is: 10,468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.14 : 36,763.74 = 6,978.98 : x
  2. Step 2: Convert to fraction form
    24,509.14/36,763.74 = 6,978.98/x
  3. Step 3: Cross multiply
    24,509.14x = 36,763.74 × 6,978.98
  4. Step 4: Simplify right side
    24,509.14x = 256,573,406.19
  5. Step 5: Solve for x
    x = 256,573,406.19/24,509.14
  6. Step 6: Final answer
    x = 10,468.48

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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.