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Finding the Fourth Proportional to 6,328.71, 9,493.10 and 4,151.23

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Solution

The fourth proportional to 6,328.71, 9,493.10 and 4,151.23 is: 6,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,328.71 : 9,493.10 = 4,151.23 : x
  2. Step 2: Convert to fraction form
    6,328.71/9,493.10 = 4,151.23/x
  3. Step 3: Cross multiply
    6,328.71x = 9,493.10 × 4,151.23
  4. Step 4: Simplify right side
    6,328.71x = 39,408,041.51
  5. Step 5: Solve for x
    x = 39,408,041.51/6,328.71
  6. Step 6: Final answer
    x = 6,226.87

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Half scale
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Double scale
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Similar ratio
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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.