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Finding the Fourth Proportional to 9,664.59, 14,496.41 and 5,664.20

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Solution

The fourth proportional to 9,664.59, 14,496.41 and 5,664.20 is: 8,496.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.59 : 14,496.41 = 5,664.20 : x
  2. Step 2: Convert to fraction form
    9,664.59/14,496.41 = 5,664.20/x
  3. Step 3: Cross multiply
    9,664.59x = 14,496.41 × 5,664.20
  4. Step 4: Simplify right side
    9,664.59x = 82,110,464.72
  5. Step 5: Solve for x
    x = 82,110,464.72/9,664.59
  6. Step 6: Final answer
    x = 8,496.01

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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.