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Finding the Fourth Proportional to 12,700.94, 17,527.46 and 7,396.25

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Solution

The fourth proportional to 12,700.94, 17,527.46 and 7,396.25 is: 10,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,700.94 : 17,527.46 = 7,396.25 : x
  2. Step 2: Convert to fraction form
    12,700.94/17,527.46 = 7,396.25/x
  3. Step 3: Cross multiply
    12,700.94x = 17,527.46 × 7,396.25
  4. Step 4: Simplify right side
    12,700.94x = 129,637,351.41
  5. Step 5: Solve for x
    x = 129,637,351.41/12,700.94
  6. Step 6: Final answer
    x = 10,206.91

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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.