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Finding the Fourth Proportional to 4,232.40, 5,934 and 4,232.40

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Solution

The fourth proportional to 4,232.40, 5,934 and 4,232.40 is: 5,934

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.40 : 5,934 = 4,232.40 : x
  2. Step 2: Convert to fraction form
    4,232.40/5,934 = 4,232.40/x
  3. Step 3: Cross multiply
    4,232.40x = 5,934 × 4,232.40
  4. Step 4: Simplify right side
    4,232.40x = 25,115,061.60
  5. Step 5: Solve for x
    x = 25,115,061.60/4,232.40
  6. Step 6: Final answer
    x = 5,934

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