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Finding the Fourth Proportional to 11,893.42, 17,807.32 and 8,962.84

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Solution

The fourth proportional to 11,893.42, 17,807.32 and 8,962.84 is: 13,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.42 : 17,807.32 = 8,962.84 : x
  2. Step 2: Convert to fraction form
    11,893.42/17,807.32 = 8,962.84/x
  3. Step 3: Cross multiply
    11,893.42x = 17,807.32 × 8,962.84
  4. Step 4: Simplify right side
    11,893.42x = 159,604,159.99
  5. Step 5: Solve for x
    x = 159,604,159.99/11,893.42
  6. Step 6: Final answer
    x = 13,419.53

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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.