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Finding the Fourth Proportional to 12,153.45, 16,771.76 and 6,564.45

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Solution

The fourth proportional to 12,153.45, 16,771.76 and 6,564.45 is: 9,058.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,153.45 : 16,771.76 = 6,564.45 : x
  2. Step 2: Convert to fraction form
    12,153.45/16,771.76 = 6,564.45/x
  3. Step 3: Cross multiply
    12,153.45x = 16,771.76 × 6,564.45
  4. Step 4: Simplify right side
    12,153.45x = 110,097,379.93
  5. Step 5: Solve for x
    x = 110,097,379.93/12,153.45
  6. Step 6: Final answer
    x = 9,058.94

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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.