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Finding the Fourth Proportional to 12,065.52, 16,646.13 and 9,548.04

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Solution

The fourth proportional to 12,065.52, 16,646.13 and 9,548.04 is: 13,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,065.52 : 16,646.13 = 9,548.04 : x
  2. Step 2: Convert to fraction form
    12,065.52/16,646.13 = 9,548.04/x
  3. Step 3: Cross multiply
    12,065.52x = 16,646.13 × 9,548.04
  4. Step 4: Simplify right side
    12,065.52x = 158,937,915.09
  5. Step 5: Solve for x
    x = 158,937,915.09/12,065.52
  6. Step 6: Final answer
    x = 13,172.90

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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.