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Finding the Fourth Proportional to 12,771.68, 17,624.93 and 7,106.94

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Solution

The fourth proportional to 12,771.68, 17,624.93 and 7,106.94 is: 9,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,771.68 : 17,624.93 = 7,106.94 : x
  2. Step 2: Convert to fraction form
    12,771.68/17,624.93 = 7,106.94/x
  3. Step 3: Cross multiply
    12,771.68x = 17,624.93 × 7,106.94
  4. Step 4: Simplify right side
    12,771.68x = 125,259,284.48
  5. Step 5: Solve for x
    x = 125,259,284.48/12,771.68
  6. Step 6: Final answer
    x = 9,807.58

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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.