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Finding the Fourth Proportional to 11,897.42, 17,846.42 and 4,000.05

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Solution

The fourth proportional to 11,897.42, 17,846.42 and 4,000.05 is: 6,000.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,897.42 : 17,846.42 = 4,000.05 : x
  2. Step 2: Convert to fraction form
    11,897.42/17,846.42 = 4,000.05/x
  3. Step 3: Cross multiply
    11,897.42x = 17,846.42 × 4,000.05
  4. Step 4: Simplify right side
    11,897.42x = 71,386,572.32
  5. Step 5: Solve for x
    x = 71,386,572.32/11,897.42
  6. Step 6: Final answer
    x = 6,000.17

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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.