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Finding the Fourth Proportional to 6,821.50, 9,410.97 and 4,302.67

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Solution

The fourth proportional to 6,821.50, 9,410.97 and 4,302.67 is: 5,935.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.50 : 9,410.97 = 4,302.67 : x
  2. Step 2: Convert to fraction form
    6,821.50/9,410.97 = 4,302.67/x
  3. Step 3: Cross multiply
    6,821.50x = 9,410.97 × 4,302.67
  4. Step 4: Simplify right side
    6,821.50x = 40,492,298.29
  5. Step 5: Solve for x
    x = 40,492,298.29/6,821.50
  6. Step 6: Final answer
    x = 5,935.98

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Half scale
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Double scale
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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.