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Finding the Fourth Proportional to 7,737.84, 10,678.24 and 4,201.08

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Solution

The fourth proportional to 7,737.84, 10,678.24 and 4,201.08 is: 5,797.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,737.84 : 10,678.24 = 4,201.08 : x
  2. Step 2: Convert to fraction form
    7,737.84/10,678.24 = 4,201.08/x
  3. Step 3: Cross multiply
    7,737.84x = 10,678.24 × 4,201.08
  4. Step 4: Simplify right side
    7,737.84x = 44,860,140.50
  5. Step 5: Solve for x
    x = 44,860,140.50/7,737.84
  6. Step 6: Final answer
    x = 5,797.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.