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Finding the Fourth Proportional to 12,106.17, 16,704.95 and 7,066.74

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Solution

The fourth proportional to 12,106.17, 16,704.95 and 7,066.74 is: 9,751.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.17 : 16,704.95 = 7,066.74 : x
  2. Step 2: Convert to fraction form
    12,106.17/16,704.95 = 7,066.74/x
  3. Step 3: Cross multiply
    12,106.17x = 16,704.95 × 7,066.74
  4. Step 4: Simplify right side
    12,106.17x = 118,049,503.03
  5. Step 5: Solve for x
    x = 118,049,503.03/12,106.17
  6. Step 6: Final answer
    x = 9,751.18

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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.