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Finding the Fourth Proportional to 9,726.36, 14,604.06 and 5,571.06

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Solution

The fourth proportional to 9,726.36, 14,604.06 and 5,571.06 is: 8,364.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,726.36 : 14,604.06 = 5,571.06 : x
  2. Step 2: Convert to fraction form
    9,726.36/14,604.06 = 5,571.06/x
  3. Step 3: Cross multiply
    9,726.36x = 14,604.06 × 5,571.06
  4. Step 4: Simplify right side
    9,726.36x = 81,360,094.50
  5. Step 5: Solve for x
    x = 81,360,094.50/9,726.36
  6. Step 6: Final answer
    x = 8,364.91

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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.