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Finding the Fourth Proportional to 7,471.81, 10,310.94 and 4,114.69

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Solution

The fourth proportional to 7,471.81, 10,310.94 and 4,114.69 is: 5,678.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.81 : 10,310.94 = 4,114.69 : x
  2. Step 2: Convert to fraction form
    7,471.81/10,310.94 = 4,114.69/x
  3. Step 3: Cross multiply
    7,471.81x = 10,310.94 × 4,114.69
  4. Step 4: Simplify right side
    7,471.81x = 42,426,311.36
  5. Step 5: Solve for x
    x = 42,426,311.36/7,471.81
  6. Step 6: Final answer
    x = 5,678.18

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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.