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Finding the Fourth Proportional to 4,852.86, 7,272.18 and 4,737.84

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Solution

The fourth proportional to 4,852.86, 7,272.18 and 4,737.84 is: 7,099.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.86 : 7,272.18 = 4,737.84 : x
  2. Step 2: Convert to fraction form
    4,852.86/7,272.18 = 4,737.84/x
  3. Step 3: Cross multiply
    4,852.86x = 7,272.18 × 4,737.84
  4. Step 4: Simplify right side
    4,852.86x = 34,454,425.29
  5. Step 5: Solve for x
    x = 34,454,425.29/4,852.86
  6. Step 6: Final answer
    x = 7,099.82

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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.