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Finding the Fourth Proportional to 24,094.88, 36,142.32 and 6,564.71

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Solution

The fourth proportional to 24,094.88, 36,142.32 and 6,564.71 is: 9,847.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,094.88 : 36,142.32 = 6,564.71 : x
  2. Step 2: Convert to fraction form
    24,094.88/36,142.32 = 6,564.71/x
  3. Step 3: Cross multiply
    24,094.88x = 36,142.32 × 6,564.71
  4. Step 4: Simplify right side
    24,094.88x = 237,263,903.30
  5. Step 5: Solve for x
    x = 237,263,903.30/24,094.88
  6. Step 6: Final answer
    x = 9,847.07

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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.