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Finding the Fourth Proportional to 13,101.72, 18,070.08 and 9,266.64

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Solution

The fourth proportional to 13,101.72, 18,070.08 and 9,266.64 is: 12,780.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,101.72 : 18,070.08 = 9,266.64 : x
  2. Step 2: Convert to fraction form
    13,101.72/18,070.08 = 9,266.64/x
  3. Step 3: Cross multiply
    13,101.72x = 18,070.08 × 9,266.64
  4. Step 4: Simplify right side
    13,101.72x = 167,448,926.13
  5. Step 5: Solve for x
    x = 167,448,926.13/13,101.72
  6. Step 6: Final answer
    x = 12,780.68

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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.