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Finding the Fourth Proportional to 9,843.34, 14,781.73 and 6,577.42

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Solution

The fourth proportional to 9,843.34, 14,781.73 and 6,577.42 is: 9,877.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.34 : 14,781.73 = 6,577.42 : x
  2. Step 2: Convert to fraction form
    9,843.34/14,781.73 = 6,577.42/x
  3. Step 3: Cross multiply
    9,843.34x = 14,781.73 × 6,577.42
  4. Step 4: Simplify right side
    9,843.34x = 97,225,646.54
  5. Step 5: Solve for x
    x = 97,225,646.54/9,843.34
  6. Step 6: Final answer
    x = 9,877.30

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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.