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Finding the Fourth Proportional to 6,907.43, 9,532.00 and 4,223.14

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Solution

The fourth proportional to 6,907.43, 9,532.00 and 4,223.14 is: 5,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,907.43 : 9,532.00 = 4,223.14 : x
  2. Step 2: Convert to fraction form
    6,907.43/9,532.00 = 4,223.14/x
  3. Step 3: Cross multiply
    6,907.43x = 9,532.00 × 4,223.14
  4. Step 4: Simplify right side
    6,907.43x = 40,254,949.36
  5. Step 5: Solve for x
    x = 40,254,949.36/6,907.43
  6. Step 6: Final answer
    x = 5,827.78

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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.