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Finding the Fourth Proportional to 4,607.70, 6,911.55 and 1,684.82

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Solution

The fourth proportional to 4,607.70, 6,911.55 and 1,684.82 is: 2,527.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,607.70 : 6,911.55 = 1,684.82 : x
  2. Step 2: Convert to fraction form
    4,607.70/6,911.55 = 1,684.82/x
  3. Step 3: Cross multiply
    4,607.70x = 6,911.55 × 1,684.82
  4. Step 4: Simplify right side
    4,607.70x = 11,644,683.11
  5. Step 5: Solve for x
    x = 11,644,683.11/4,607.70
  6. Step 6: Final answer
    x = 2,527.22

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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.