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Finding the Fourth Proportional to 12,071.20, 18,106.80 and 10,535.20

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Solution

The fourth proportional to 12,071.20, 18,106.80 and 10,535.20 is: 15,802.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.20 : 18,106.80 = 10,535.20 : x
  2. Step 2: Convert to fraction form
    12,071.20/18,106.80 = 10,535.20/x
  3. Step 3: Cross multiply
    12,071.20x = 18,106.80 × 10,535.20
  4. Step 4: Simplify right side
    12,071.20x = 190,758,759.36
  5. Step 5: Solve for x
    x = 190,758,759.36/12,071.20
  6. Step 6: Final answer
    x = 15,802.80

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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.