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Finding the Fourth Proportional to 24,511.68, 36,756.72 and 6,977.52

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Solution

The fourth proportional to 24,511.68, 36,756.72 and 6,977.52 is: 10,463.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,511.68 : 36,756.72 = 6,977.52 : x
  2. Step 2: Convert to fraction form
    24,511.68/36,756.72 = 6,977.52/x
  3. Step 3: Cross multiply
    24,511.68x = 36,756.72 × 6,977.52
  4. Step 4: Simplify right side
    24,511.68x = 256,470,748.93
  5. Step 5: Solve for x
    x = 256,470,748.93/24,511.68
  6. Step 6: Final answer
    x = 10,463.21

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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.