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Finding the Fourth Proportional to 9,661.56, 14,471.51 and 6,524.34

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Solution

The fourth proportional to 9,661.56, 14,471.51 and 6,524.34 is: 9,772.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.56 : 14,471.51 = 6,524.34 : x
  2. Step 2: Convert to fraction form
    9,661.56/14,471.51 = 6,524.34/x
  3. Step 3: Cross multiply
    9,661.56x = 14,471.51 × 6,524.34
  4. Step 4: Simplify right side
    9,661.56x = 94,417,018.93
  5. Step 5: Solve for x
    x = 94,417,018.93/9,661.56
  6. Step 6: Final answer
    x = 9,772.44

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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.