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Finding the Fourth Proportional to 5,646.89, 8,469.93 and 1,751.20

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Solution

The fourth proportional to 5,646.89, 8,469.93 and 1,751.20 is: 2,626.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.89 : 8,469.93 = 1,751.20 : x
  2. Step 2: Convert to fraction form
    5,646.89/8,469.93 = 1,751.20/x
  3. Step 3: Cross multiply
    5,646.89x = 8,469.93 × 1,751.20
  4. Step 4: Simplify right side
    5,646.89x = 14,832,541.42
  5. Step 5: Solve for x
    x = 14,832,541.42/5,646.89
  6. Step 6: Final answer
    x = 2,626.67

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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.