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Finding the Fourth Proportional to 24,709.87, 37,070.70 and 8,069.93

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Solution

The fourth proportional to 24,709.87, 37,070.70 and 8,069.93 is: 12,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,709.87 : 37,070.70 = 8,069.93 : x
  2. Step 2: Convert to fraction form
    24,709.87/37,070.70 = 8,069.93/x
  3. Step 3: Cross multiply
    24,709.87x = 37,070.70 × 8,069.93
  4. Step 4: Simplify right side
    24,709.87x = 299,157,954.05
  5. Step 5: Solve for x
    x = 299,157,954.05/24,709.87
  6. Step 6: Final answer
    x = 12,106.82

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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.