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Finding the Fourth Proportional to 9,854.82, 14,765.80 and 6,927.90

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Solution

The fourth proportional to 9,854.82, 14,765.80 and 6,927.90 is: 10,380.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,854.82 : 14,765.80 = 6,927.90 : x
  2. Step 2: Convert to fraction form
    9,854.82/14,765.80 = 6,927.90/x
  3. Step 3: Cross multiply
    9,854.82x = 14,765.80 × 6,927.90
  4. Step 4: Simplify right side
    9,854.82x = 102,295,985.82
  5. Step 5: Solve for x
    x = 102,295,985.82/9,854.82
  6. Step 6: Final answer
    x = 10,380.30

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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.