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Finding the Fourth Proportional to 24,700.75, 37,051.21 and 5,980.75

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Solution

The fourth proportional to 24,700.75, 37,051.21 and 5,980.75 is: 8,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,700.75 : 37,051.21 = 5,980.75 : x
  2. Step 2: Convert to fraction form
    24,700.75/37,051.21 = 5,980.75/x
  3. Step 3: Cross multiply
    24,700.75x = 37,051.21 × 5,980.75
  4. Step 4: Simplify right side
    24,700.75x = 221,594,024.21
  5. Step 5: Solve for x
    x = 221,594,024.21/24,700.75
  6. Step 6: Final answer
    x = 8,971.15

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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.