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Finding the Fourth Proportional to 12,053.06, 18,097.95 and 11,459.06

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Solution

The fourth proportional to 12,053.06, 18,097.95 and 11,459.06 is: 17,206.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,053.06 : 18,097.95 = 11,459.06 : x
  2. Step 2: Convert to fraction form
    12,053.06/18,097.95 = 11,459.06/x
  3. Step 3: Cross multiply
    12,053.06x = 18,097.95 × 11,459.06
  4. Step 4: Simplify right side
    12,053.06x = 207,385,494.93
  5. Step 5: Solve for x
    x = 207,385,494.93/12,053.06
  6. Step 6: Final answer
    x = 17,206.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.