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Finding the Fourth Proportional to 4,659.70, 6,989.55 and 1,737.40

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Solution

The fourth proportional to 4,659.70, 6,989.55 and 1,737.40 is: 2,606.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.70 : 6,989.55 = 1,737.40 : x
  2. Step 2: Convert to fraction form
    4,659.70/6,989.55 = 1,737.40/x
  3. Step 3: Cross multiply
    4,659.70x = 6,989.55 × 1,737.40
  4. Step 4: Simplify right side
    4,659.70x = 12,143,644.17
  5. Step 5: Solve for x
    x = 12,143,644.17/4,659.70
  6. Step 6: Final answer
    x = 2,606.10

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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.