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Finding the Fourth Proportional to 4,638.42, 6,957.95 and 1,865.10

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Solution

The fourth proportional to 4,638.42, 6,957.95 and 1,865.10 is: 2,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,638.42 : 6,957.95 = 1,865.10 : x
  2. Step 2: Convert to fraction form
    4,638.42/6,957.95 = 1,865.10/x
  3. Step 3: Cross multiply
    4,638.42x = 6,957.95 × 1,865.10
  4. Step 4: Simplify right side
    4,638.42x = 12,977,237.76
  5. Step 5: Solve for x
    x = 12,977,237.76/4,638.42
  6. Step 6: Final answer
    x = 2,797.77

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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.