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Finding the Fourth Proportional to 4,870.84, 6,724.02 and 3,697.24

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Solution

The fourth proportional to 4,870.84, 6,724.02 and 3,697.24 is: 5,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870.84 : 6,724.02 = 3,697.24 : x
  2. Step 2: Convert to fraction form
    4,870.84/6,724.02 = 3,697.24/x
  3. Step 3: Cross multiply
    4,870.84x = 6,724.02 × 3,697.24
  4. Step 4: Simplify right side
    4,870.84x = 24,860,315.70
  5. Step 5: Solve for x
    x = 24,860,315.70/4,870.84
  6. Step 6: Final answer
    x = 5,103.91

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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.