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Finding the Fourth Proportional to 4,672.42, 7,009.03 and 1,711.67

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Solution

The fourth proportional to 4,672.42, 7,009.03 and 1,711.67 is: 2,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.42 : 7,009.03 = 1,711.67 : x
  2. Step 2: Convert to fraction form
    4,672.42/7,009.03 = 1,711.67/x
  3. Step 3: Cross multiply
    4,672.42x = 7,009.03 × 1,711.67
  4. Step 4: Simplify right side
    4,672.42x = 11,997,113.47
  5. Step 5: Solve for x
    x = 11,997,113.47/4,672.42
  6. Step 6: Final answer
    x = 2,567.65

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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.