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Finding the Fourth Proportional to 21,001.84, 31,503.64 and 7,852.88

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Solution

The fourth proportional to 21,001.84, 31,503.64 and 7,852.88 is: 11,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,001.84 : 31,503.64 = 7,852.88 : x
  2. Step 2: Convert to fraction form
    21,001.84/31,503.64 = 7,852.88/x
  3. Step 3: Cross multiply
    21,001.84x = 31,503.64 × 7,852.88
  4. Step 4: Simplify right side
    21,001.84x = 247,394,304.48
  5. Step 5: Solve for x
    x = 247,394,304.48/21,001.84
  6. Step 6: Final answer
    x = 11,779.65

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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.