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Finding the Fourth Proportional to 9,571.74, 14,271.65 and 9,206.34

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Solution

The fourth proportional to 9,571.74, 14,271.65 and 9,206.34 is: 13,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,571.74 : 14,271.65 = 9,206.34 : x
  2. Step 2: Convert to fraction form
    9,571.74/14,271.65 = 9,206.34/x
  3. Step 3: Cross multiply
    9,571.74x = 14,271.65 × 9,206.34
  4. Step 4: Simplify right side
    9,571.74x = 131,389,616.23
  5. Step 5: Solve for x
    x = 131,389,616.23/9,571.74
  6. Step 6: Final answer
    x = 13,726.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.