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Finding the Fourth Proportional to 13,024.52, 17,962.02 and 8,546.58

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Solution

The fourth proportional to 13,024.52, 17,962.02 and 8,546.58 is: 11,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,024.52 : 17,962.02 = 8,546.58 : x
  2. Step 2: Convert to fraction form
    13,024.52/17,962.02 = 8,546.58/x
  3. Step 3: Cross multiply
    13,024.52x = 17,962.02 × 8,546.58
  4. Step 4: Simplify right side
    13,024.52x = 153,513,840.89
  5. Step 5: Solve for x
    x = 153,513,840.89/13,024.52
  6. Step 6: Final answer
    x = 11,786.53

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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.