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Finding the Fourth Proportional to 6,286.99, 9,386.30 and 5,193.49

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Solution

The fourth proportional to 6,286.99, 9,386.30 and 5,193.49 is: 7,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.99 : 9,386.30 = 5,193.49 : x
  2. Step 2: Convert to fraction form
    6,286.99/9,386.30 = 5,193.49/x
  3. Step 3: Cross multiply
    6,286.99x = 9,386.30 × 5,193.49
  4. Step 4: Simplify right side
    6,286.99x = 48,747,655.19
  5. Step 5: Solve for x
    x = 48,747,655.19/6,286.99
  6. Step 6: Final answer
    x = 7,753.74

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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 (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.