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Finding the Fourth Proportional to 5,984.57, 8,250.15 and 4,210.67

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Solution

The fourth proportional to 5,984.57, 8,250.15 and 4,210.67 is: 5,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.57 : 8,250.15 = 4,210.67 : x
  2. Step 2: Convert to fraction form
    5,984.57/8,250.15 = 4,210.67/x
  3. Step 3: Cross multiply
    5,984.57x = 8,250.15 × 4,210.67
  4. Step 4: Simplify right side
    5,984.57x = 34,738,659.10
  5. Step 5: Solve for x
    x = 34,738,659.10/5,984.57
  6. Step 6: Final answer
    x = 5,804.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.