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Finding the Fourth Proportional to 7,699.84, 11,546.16 and 4,001.07

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Solution

The fourth proportional to 7,699.84, 11,546.16 and 4,001.07 is: 5,999.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.84 : 11,546.16 = 4,001.07 : x
  2. Step 2: Convert to fraction form
    7,699.84/11,546.16 = 4,001.07/x
  3. Step 3: Cross multiply
    7,699.84x = 11,546.16 × 4,001.07
  4. Step 4: Simplify right side
    7,699.84x = 46,197,052.69
  5. Step 5: Solve for x
    x = 46,197,052.69/7,699.84
  6. Step 6: Final answer
    x = 5,999.74

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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.