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Finding the Fourth Proportional to 4,532.40, 6,237 and 4,009.68

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Solution

The fourth proportional to 4,532.40, 6,237 and 4,009.68 is: 5,517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.40 : 6,237 = 4,009.68 : x
  2. Step 2: Convert to fraction form
    4,532.40/6,237 = 4,009.68/x
  3. Step 3: Cross multiply
    4,532.40x = 6,237 × 4,009.68
  4. Step 4: Simplify right side
    4,532.40x = 25,008,374.16
  5. Step 5: Solve for x
    x = 25,008,374.16/4,532.40
  6. Step 6: Final answer
    x = 5,517.69

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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.