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Finding the Fourth Proportional to 9,770.48, 14,649.84 and 6,654.32

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Solution

The fourth proportional to 9,770.48, 14,649.84 and 6,654.32 is: 9,977.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.48 : 14,649.84 = 6,654.32 : x
  2. Step 2: Convert to fraction form
    9,770.48/14,649.84 = 6,654.32/x
  3. Step 3: Cross multiply
    9,770.48x = 14,649.84 × 6,654.32
  4. Step 4: Simplify right side
    9,770.48x = 97,484,723.31
  5. Step 5: Solve for x
    x = 97,484,723.31/9,770.48
  6. Step 6: Final answer
    x = 9,977.48

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Similar ratio
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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.