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Finding the Fourth Proportional to 21,697.74, 32,546.16 and 6,907.68

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Solution

The fourth proportional to 21,697.74, 32,546.16 and 6,907.68 is: 10,361.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,697.74 : 32,546.16 = 6,907.68 : x
  2. Step 2: Convert to fraction form
    21,697.74/32,546.16 = 6,907.68/x
  3. Step 3: Cross multiply
    21,697.74x = 32,546.16 × 6,907.68
  4. Step 4: Simplify right side
    21,697.74x = 224,818,458.51
  5. Step 5: Solve for x
    x = 224,818,458.51/21,697.74
  6. Step 6: Final answer
    x = 10,361.38

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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.