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Finding the Fourth Proportional to 12,153.84, 16,772.31 and 6,564.84

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Solution

The fourth proportional to 12,153.84, 16,772.31 and 6,564.84 is: 9,059.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.84 : 16,772.31 = 6,564.84 : x
  2. Step 2: Convert to fraction form
    12,153.84/16,772.31 = 6,564.84/x
  3. Step 3: Cross multiply
    12,153.84x = 16,772.31 × 6,564.84
  4. Step 4: Simplify right side
    12,153.84x = 110,107,498.76
  5. Step 5: Solve for x
    x = 110,107,498.76/12,153.84
  6. Step 6: Final answer
    x = 9,059.48

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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.