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Finding the Fourth Proportional to 12,153.63, 16,772.01 and 6,564.63

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Solution

The fourth proportional to 12,153.63, 16,772.01 and 6,564.63 is: 9,059.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.63 : 16,772.01 = 6,564.63 : x
  2. Step 2: Convert to fraction form
    12,153.63/16,772.01 = 6,564.63/x
  3. Step 3: Cross multiply
    12,153.63x = 16,772.01 × 6,564.63
  4. Step 4: Simplify right side
    12,153.63x = 110,102,040.01
  5. Step 5: Solve for x
    x = 110,102,040.01/12,153.63
  6. Step 6: Final answer
    x = 9,059.19

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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.