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Finding the Fourth Proportional to 4,596.83, 6,898.51 and 1,824.10

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Solution

The fourth proportional to 4,596.83, 6,898.51 and 1,824.10 is: 2,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.83 : 6,898.51 = 1,824.10 : x
  2. Step 2: Convert to fraction form
    4,596.83/6,898.51 = 1,824.10/x
  3. Step 3: Cross multiply
    4,596.83x = 6,898.51 × 1,824.10
  4. Step 4: Simplify right side
    4,596.83x = 12,583,572.09
  5. Step 5: Solve for x
    x = 12,583,572.09/4,596.83
  6. Step 6: Final answer
    x = 2,737.45

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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.